Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975s |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-698780671875 = -1 · 37 · 56 · 112 · 132 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 11- 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-29608,1971243] |
[a1,a2,a3,a4,a6] |
Generators |
[-534:15271:8] |
Generators of the group modulo torsion |
j |
-1518309117952/369603 |
j-invariant |
L |
13.328412994057 |
L(r)(E,1)/r! |
Ω |
0.88210493963777 |
Real period |
R |
3.777445392987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4719k1 117975k1 |
Quadratic twists by: 5 -11 |