Atkin-Lehner |
2- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9394j |
Isogeny class |
Conductor |
9394 |
Conductor |
∏ cp |
65 |
Product of Tamagawa factors cp |
deg |
15600 |
Modular degree for the optimal curve |
Δ |
563353821184 = 213 · 7 · 115 · 61 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3427,67969] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:361:1] |
Generators of the group modulo torsion |
j |
4451167587191473/563353821184 |
j-invariant |
L |
6.1844823219363 |
L(r)(E,1)/r! |
Ω |
0.88840059301949 |
Real period |
R |
0.10709794953261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75152l1 84546k1 65758bc1 103334s1 |
Quadratic twists by: -4 -3 -7 -11 |