Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984y |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
582185660338098432 = 28 · 39 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-639212871,-6220372323814] |
[a1,a2,a3,a4,a6] |
Generators |
[-202670029877126665370:137829669125544396:13884394939228549] |
Generators of the group modulo torsion |
j |
87364831012240243408/1760913 |
j-invariant |
L |
5.6870252730468 |
L(r)(E,1)/r! |
Ω |
0.030025356794579 |
Real period |
R |
23.675927117721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968cf1 20328p1 5544t1 |
Quadratic twists by: -4 -3 -11 |