Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94178q |
Isogeny class |
Conductor |
94178 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
669600 |
Modular degree for the optimal curve |
Δ |
334333286676872 = 23 · 72 · 318 |
Discriminant |
Eigenvalues |
2- 0 0 7- -2 2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-456175,-118471825] |
[a1,a2,a3,a4,a6] |
Generators |
[274211:1654988:343] |
Generators of the group modulo torsion |
j |
251204625/8 |
j-invariant |
L |
9.8076665073255 |
L(r)(E,1)/r! |
Ω |
0.18370356682632 |
Real period |
R |
5.9320607714351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94178k1 94178t1 |
Quadratic twists by: -7 -31 |