Atkin-Lehner |
2+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26714b |
Isogeny class |
Conductor |
26714 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-421228389957632 = -1 · 215 · 193 · 374 |
Discriminant |
Eigenvalues |
2+ 1 2 1 2 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3830,983548] |
[a1,a2,a3,a4,a6] |
Generators |
[-2982:209471:216] |
Generators of the group modulo torsion |
j |
906196171733/61412507648 |
j-invariant |
L |
5.7609068438989 |
L(r)(E,1)/r! |
Ω |
0.4048685520808 |
Real period |
R |
3.5572698930869 |
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 |
26714n1 |
Quadratic twists by: -19 |