Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650dd |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
10025634465000000 = 26 · 312 · 57 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72230,5729397] |
[a1,a2,a3,a4,a6] |
j |
3658671062929/880165440 |
j-invariant |
L |
4.5937104657205 |
L(r)(E,1)/r! |
Ω |
0.38280920547707 |
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 |
11550d1 6930q1 |
Quadratic twists by: -3 5 |