Atkin-Lehner |
2- 11+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97526r |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
461376 |
Modular degree for the optimal curve |
Δ |
-2231796943028224 = -1 · 227 · 113 · 13 · 312 |
Discriminant |
Eigenvalues |
2- -2 -1 1 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,19814,2005092] |
[a1,a2,a3,a4,a6] |
Generators |
[212:3862:1] |
Generators of the group modulo torsion |
j |
646339596390181/1676782075904 |
j-invariant |
L |
6.6915817922499 |
L(r)(E,1)/r! |
Ω |
0.32329339021452 |
Real period |
R |
0.19164972939718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999868415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97526a1 |
Quadratic twists by: -11 |