Atkin-Lehner |
2- 3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
122100bf |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-1251080243424000 = -1 · 28 · 38 · 53 · 115 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11- -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24827,801383] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:54:1] [473:10890:1] |
Generators of the group modulo torsion |
j |
52884569522176/39096257607 |
j-invariant |
L |
12.144539524322 |
L(r)(E,1)/r! |
Ω |
0.30918446996797 |
Real period |
R |
0.16366361491605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122100o1 |
Quadratic twists by: 5 |