Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650cq |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
5209844062500 = 22 · 39 · 57 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59105,5544397] |
[a1,a2,a3,a4,a6] |
j |
74246873427/16940 |
j-invariant |
L |
5.9621719273469 |
L(r)(E,1)/r! |
Ω |
0.74527149091892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34650e1 6930d1 |
Quadratic twists by: -3 5 |