Atkin-Lehner |
2- 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
63756bj |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
-2.2096152218329E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 1 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2157609,1240640161] |
[a1,a2,a3,a4,a6] |
Generators |
[-1537:30429:1] [353:22869:1] |
Generators of the group modulo torsion |
j |
-95234528549165677312/1894388907607119 |
j-invariant |
L |
8.9784471552369 |
L(r)(E,1)/r! |
Ω |
0.21465278443157 |
Real period |
R |
0.049794963499145 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21252l1 |
Quadratic twists by: -3 |