Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5194q |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-7045381280755412 = -1 · 22 · 716 · 53 |
Discriminant |
Eigenvalues |
2- -3 2 7- 2 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3954,-4038555] |
[a1,a2,a3,a4,a6] |
Generators |
[2025:90029:1] |
Generators of the group modulo torsion |
j |
-58095499617/59884752788 |
j-invariant |
L |
4.0676420911047 |
L(r)(E,1)/r! |
Ω |
0.1893788471056 |
Real period |
R |
5.3697154582905 |
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 |
41552bo1 46746q1 129850p1 742f1 |
Quadratic twists by: -4 -3 5 -7 |