Atkin-Lehner |
2- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032by |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
381393587008 = 26 · 76 · 373 |
Discriminant |
Eigenvalues |
2- 3 4 7- 3 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12838,-559090] |
[a1,a2,a3,a4,a6] |
j |
31077609984/50653 |
j-invariant |
L |
12.111042143334 |
L(r)(E,1)/r! |
Ω |
0.44855709119985 |
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 |
116032bz1 58016v1 2368r1 |
Quadratic twists by: -4 8 -7 |