Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
94178t |
Isogeny class |
Conductor |
94178 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
376712 = 23 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 0 0 7- 2 -2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-475,4099] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-6:1] [692:393:64] |
Generators of the group modulo torsion |
j |
251204625/8 |
j-invariant |
L |
16.079395450426 |
L(r)(E,1)/r! |
Ω |
2.8100727175629 |
Real period |
R |
1.9073522368773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94178m1 94178q1 |
Quadratic twists by: -7 -31 |