Atkin-Lehner |
2+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26714h |
Isogeny class |
Conductor |
26714 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
264586034744 = 23 · 197 · 37 |
Discriminant |
Eigenvalues |
2+ 0 1 -4 -3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2414,-37764] |
[a1,a2,a3,a4,a6] |
Generators |
[81:501:1] |
Generators of the group modulo torsion |
j |
33076161/5624 |
j-invariant |
L |
2.7638875626745 |
L(r)(E,1)/r! |
Ω |
0.68898585829176 |
Real period |
R |
1.0028825444716 |
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 |
1406e1 |
Quadratic twists by: -19 |