Atkin-Lehner |
2+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118096n |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1889280 |
Modular degree for the optimal curve |
Δ |
9058749564418048 = 211 · 117 · 613 |
Discriminant |
Eigenvalues |
2+ -3 0 -2 11- 3 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1146475,472470394] |
[a1,a2,a3,a4,a6] |
Generators |
[-407:29524:1] |
Generators of the group modulo torsion |
j |
45933698531250/2496791 |
j-invariant |
L |
2.5721849480281 |
L(r)(E,1)/r! |
Ω |
0.38843219729313 |
Real period |
R |
0.13795763087599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000134872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59048n1 10736d1 |
Quadratic twists by: -4 -11 |