Atkin-Lehner |
2- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40700b |
Isogeny class |
Conductor |
40700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1119250000 = 24 · 56 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-400,2625] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:42:1] [-10:75:1] |
Generators of the group modulo torsion |
j |
28311552/4477 |
j-invariant |
L |
8.7665577127287 |
L(r)(E,1)/r! |
Ω |
1.4802689548964 |
Real period |
R |
1.9740911910482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1628a1 |
Quadratic twists by: 5 |