Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63700br |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-2.38691585405E+19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,700292,-66372088] |
[a1,a2,a3,a4,a6] |
Generators |
[57205:2337686:125] |
Generators of the group modulo torsion |
j |
268912/169 |
j-invariant |
L |
4.3809253820281 |
L(r)(E,1)/r! |
Ω |
0.12263812593127 |
Real period |
R |
8.9305942758833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700bk1 63700be1 |
Quadratic twists by: 5 -7 |