Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63700bq |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
152943700000000 = 28 · 58 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16333,534463] |
[a1,a2,a3,a4,a6] |
Generators |
[-9084:7399:64] |
Generators of the group modulo torsion |
j |
40960/13 |
j-invariant |
L |
6.5904346051169 |
L(r)(E,1)/r! |
Ω |
0.53382369947355 |
Real period |
R |
6.1728568921419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700l1 1300e1 |
Quadratic twists by: 5 -7 |