Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366bn |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-683713474532352 = -1 · 210 · 36 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 11- -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11956,1150031] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1087:1] |
Generators of the group modulo torsion |
j |
146363183/529408 |
j-invariant |
L |
12.070820889169 |
L(r)(E,1)/r! |
Ω |
0.36204898845006 |
Real period |
R |
0.41675371482972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11374f1 9306d1 |
Quadratic twists by: -3 -11 |