Atkin-Lehner |
2+ 3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670l |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-33895260 = -1 · 22 · 34 · 5 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3,-279] |
[a1,a2,a3,a4,a6] |
Generators |
[15:51:1] |
Generators of the group modulo torsion |
j |
4913/98820 |
j-invariant |
L |
3.6103666534442 |
L(r)(E,1)/r! |
Ω |
0.95509724061713 |
Real period |
R |
1.8900518696415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670t1 |
Quadratic twists by: -7 |