Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
26950v |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
13043800000000 = 29 · 58 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7376,170398] |
[a1,a2,a3,a4,a6] |
Generators |
[22:126:1] |
Generators of the group modulo torsion |
j |
57954303169/17036800 |
j-invariant |
L |
4.437137034241 |
L(r)(E,1)/r! |
Ω |
0.65857134239394 |
Real period |
R |
1.1229198591484 |
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 |
5390bi1 26950f1 |
Quadratic twists by: 5 -7 |