Atkin-Lehner |
2- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
40700a |
Isogeny class |
Conductor |
40700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
3385731250000 = 24 · 58 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6700,191625] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:363:1] |
Generators of the group modulo torsion |
j |
133047926784/13542925 |
j-invariant |
L |
4.7354817658718 |
L(r)(E,1)/r! |
Ω |
0.7702455288295 |
Real period |
R |
2.0493386366765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8140a1 |
Quadratic twists by: 5 |