Atkin-Lehner |
2+ 3+ 5+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
26070b |
Isogeny class |
Conductor |
26070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-36084016742400 = -1 · 224 · 32 · 52 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75078,-7954668] |
[a1,a2,a3,a4,a6] |
Generators |
[321:912:1] |
Generators of the group modulo torsion |
j |
-46802692191438805609/36084016742400 |
j-invariant |
L |
2.7796352136804 |
L(r)(E,1)/r! |
Ω |
0.14420175696504 |
Real period |
R |
4.8190037212139 |
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 |
78210bu1 |
Quadratic twists by: -3 |