Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658bb |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
6652800 |
Modular degree for the optimal curve |
Δ |
8881077291525678456 = 23 · 35 · 75 · 437 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 7 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27096209,54277404599] |
[a1,a2,a3,a4,a6] |
j |
348047549263412713/1404930744 |
j-invariant |
L |
6.1065743561863 |
L(r)(E,1)/r! |
Ω |
0.20355248043079 |
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 |
1806d1 |
Quadratic twists by: -43 |