Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
106580c |
Isogeny class |
Conductor |
106580 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
895104 |
Modular degree for the optimal curve |
Δ |
883791881527760 = 24 · 5 · 737 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-646585,-199897698] |
[a1,a2,a3,a4,a6] |
Generators |
[226435250733414829865550850870155952888907629681918823002934719380637367127901587606058646659552676292:2696440899328096015669315742476771680466802842786215295860258309693849079424291760694616101789884329071:227622924528324097880439341927360574047678015581919332053747416319453890462799845362658451047401536] |
Generators of the group modulo torsion |
j |
12346507264/365 |
j-invariant |
L |
12.96207841762 |
L(r)(E,1)/r! |
Ω |
0.16836191726428 |
Real period |
R |
153.97874564796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1460a1 |
Quadratic twists by: 73 |