Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
69938i |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21591360 |
Modular degree for the optimal curve |
Δ |
-3.4494944171224E+25 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 11- 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,58642284,223551227282] |
[a1,a2,a3,a4,a6] |
Generators |
[-332595724045779250:34820116597736110649:135749194270984] |
Generators of the group modulo torsion |
j |
1804716011375/2791309312 |
j-invariant |
L |
2.7461569986709 |
L(r)(E,1)/r! |
Ω |
0.044488991531448 |
Real period |
R |
30.863331625866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358h1 69938d1 |
Quadratic twists by: -11 17 |