Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864ce |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
128160667021606912 = 227 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 1 0 7- 11- 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-151048,14574580] |
[a1,a2,a3,a4,a6] |
j |
1071912625/360448 |
j-invariant |
L |
2.4275921950527 |
L(r)(E,1)/r! |
Ω |
0.3034490162896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858m1 94864bh1 8624z1 |
Quadratic twists by: -4 -7 -11 |