Atkin-Lehner |
2- 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
26316h |
Isogeny class |
Conductor |
26316 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2685197060352 = -1 · 28 · 315 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-975,-79706] |
[a1,a2,a3,a4,a6] |
Generators |
[12430:112266:125] |
Generators of the group modulo torsion |
j |
-549250000/14388273 |
j-invariant |
L |
6.3298806570973 |
L(r)(E,1)/r! |
Ω |
0.35069918164156 |
Real period |
R |
4.5123292186399 |
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 |
105264bn1 8772c1 |
Quadratic twists by: -4 -3 |