Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400cj |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147603456 |
Modular degree for the optimal curve |
Δ |
-4.8065978622437E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9648956408,379758245062812] |
[a1,a2,a3,a4,a6] |
Generators |
[994110535195982855462554018906:5013975245754843865865664062500000:270213807135300856019731063] |
Generators of the group modulo torsion |
j |
-6209330302768171611865194436/300412366390228271484375 |
j-invariant |
L |
3.9078326998277 |
L(r)(E,1)/r! |
Ω |
0.024106239873022 |
Real period |
R |
40.527190475264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280q1 |
Quadratic twists by: 5 |