Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928ca |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1822549082112 = 218 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28227,-1824190] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:34:1] |
Generators of the group modulo torsion |
j |
832972004929/610368 |
j-invariant |
L |
4.17942379794 |
L(r)(E,1)/r! |
Ω |
0.36834304732794 |
Real period |
R |
1.4183190874168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3366g1 107712ed1 8976q1 |
Quadratic twists by: -4 8 -3 |