Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950c |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
32467359232000000 = 215 · 56 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11+ -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-95575,-7400875] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:960:1] |
Generators of the group modulo torsion |
j |
1071912625/360448 |
j-invariant |
L |
2.2397738765536 |
L(r)(E,1)/r! |
Ω |
0.27889295539852 |
Real period |
R |
4.0154723043347 |
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 |
1078g1 26950j1 |
Quadratic twists by: 5 -7 |