Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200hh |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-94109343750000 = -1 · 24 · 311 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8625,559375] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1625:1] |
Generators of the group modulo torsion |
j |
-3114752/4131 |
j-invariant |
L |
6.1190547436676 |
L(r)(E,1)/r! |
Ω |
0.54250783722316 |
Real period |
R |
2.8198001594801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15300bh1 20400dq1 61200gq1 |
Quadratic twists by: -4 -3 5 |