Atkin-Lehner |
5+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26825c |
Isogeny class |
Conductor |
26825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-14099890625 = -1 · 56 · 293 · 37 |
Discriminant |
Eigenvalues |
-1 -3 5+ -2 1 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-330,-6078] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-390:1] |
Generators of the group modulo torsion |
j |
-253636137/902393 |
j-invariant |
L |
1.0796602974669 |
L(r)(E,1)/r! |
Ω |
0.5139492708192 |
Real period |
R |
0.35011895750787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1073b1 |
Quadratic twists by: 5 |