Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984v |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-9.8439617063383E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4168329,3472374026] |
[a1,a2,a3,a4,a6] |
Generators |
[-39980840185:-9085470558824:180362125] |
Generators of the group modulo torsion |
j |
24226243449392/29774625727 |
j-invariant |
L |
4.7782256547467 |
L(r)(E,1)/r! |
Ω |
0.086464395150593 |
Real period |
R |
13.815587463471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968cc1 6776f1 5544x1 |
Quadratic twists by: -4 -3 -11 |