Atkin-Lehner |
3+ 11- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26367b |
Isogeny class |
Conductor |
26367 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
57664629 = 38 · 11 · 17 · 47 |
Discriminant |
Eigenvalues |
-1 3+ -3 3 11- -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-97,2] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:22:1] [-50:183:8] |
Generators of the group modulo torsion |
j |
100999381393/57664629 |
j-invariant |
L |
4.1616687165404 |
L(r)(E,1)/r! |
Ω |
1.698140181218 |
Real period |
R |
1.2253607689663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79101d1 |
Quadratic twists by: -3 |