Atkin-Lehner |
2+ 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498d |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
217805516701696 = 218 · 7 · 116 · 67 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 11- -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21662,-1002608] |
[a1,a2,a3,a4,a6] |
Generators |
[-81315:164197:729] |
Generators of the group modulo torsion |
j |
634504103857/122945536 |
j-invariant |
L |
5.9649108523897 |
L(r)(E,1)/r! |
Ω |
0.39883472678795 |
Real period |
R |
3.7389615606389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
938d1 |
Quadratic twists by: -11 |