Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658bi |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-14677362 = -1 · 2 · 34 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 3 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57336,-5289102] |
[a1,a2,a3,a4,a6] |
j |
-11273777226305161/7938 |
j-invariant |
L |
11.106958979776 |
L(r)(E,1)/r! |
Ω |
0.15426331922641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658k1 |
Quadratic twists by: -43 |