Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600cd |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
308828625000000 = 26 · 3 · 59 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169458,-26780088] |
[a1,a2,a3,a4,a6] |
Generators |
[49978:3941119:8] |
Generators of the group modulo torsion |
j |
36594368/21 |
j-invariant |
L |
3.8674247456603 |
L(r)(E,1)/r! |
Ω |
0.23531454973067 |
Real period |
R |
8.217564131446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998415278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600ie1 117600ih1 16800bc1 |
Quadratic twists by: -4 5 -7 |