Atkin-Lehner |
2+ 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
91120a |
Isogeny class |
Conductor |
91120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
296960 |
Modular degree for the optimal curve |
Δ |
-15220867040000 = -1 · 28 · 54 · 175 · 67 |
Discriminant |
Eigenvalues |
2+ -3 5+ 0 3 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4468,220108] |
[a1,a2,a3,a4,a6] |
Generators |
[9:425:1] |
Generators of the group modulo torsion |
j |
-38532149812224/59456511875 |
j-invariant |
L |
3.6323849311649 |
L(r)(E,1)/r! |
Ω |
0.62836275067318 |
Real period |
R |
2.89035666418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45560d1 |
Quadratic twists by: -4 |