Atkin-Lehner |
2- 3- 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238cs |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
7918181796096 = 28 · 312 · 112 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12209,-498207] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:144:1] |
Generators of the group modulo torsion |
j |
276059766397897/10861703424 |
j-invariant |
L |
13.723915012122 |
L(r)(E,1)/r! |
Ω |
0.45528579134172 |
Real period |
R |
1.8839698156339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31746e1 |
Quadratic twists by: -3 |