Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950l |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-474320000000 = -1 · 210 · 57 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11+ -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,33125] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:150:1] [-14:183:1] |
Generators of the group modulo torsion |
j |
-2401/619520 |
j-invariant |
L |
4.9930640879067 |
L(r)(E,1)/r! |
Ω |
0.7441204122827 |
Real period |
R |
0.83875270814532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390w1 26950b1 |
Quadratic twists by: 5 -7 |