Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032cu |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
-1.6488211106779E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13664091,19450841942] |
[a1,a2,a3,a4,a6] |
Generators |
[-4262:16416:1] |
Generators of the group modulo torsion |
j |
-669003004754/390963 |
j-invariant |
L |
7.8304490083577 |
L(r)(E,1)/r! |
Ω |
0.17937239953882 |
Real period |
R |
5.4568380003853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344k1 67032bt1 |
Quadratic twists by: -3 -7 |