Atkin-Lehner |
3+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73689b |
Isogeny class |
Conductor |
73689 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
274560 |
Modular degree for the optimal curve |
Δ |
955106307801261 = 313 · 7 · 112 · 294 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ 11- 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-32501,1706528] |
[a1,a2,a3,a4,a6] |
j |
31379200581566464/7893440560341 |
j-invariant |
L |
0.92916216780902 |
L(r)(E,1)/r! |
Ω |
0.46458106822098 |
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 |
73689q1 |
Quadratic twists by: -11 |