Atkin-Lehner |
3+ 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9471a |
Isogeny class |
Conductor |
9471 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
3248553 = 3 · 74 · 11 · 41 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44,-93] |
[a1,a2,a3,a4,a6] |
Generators |
[-430:927:125] |
Generators of the group modulo torsion |
j |
9759185353/3248553 |
j-invariant |
L |
4.7946240396368 |
L(r)(E,1)/r! |
Ω |
1.8976691241963 |
Real period |
R |
5.0531717869073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28413d1 66297n1 104181k1 |
Quadratic twists by: -3 -7 -11 |