Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
84700l |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-5.5287425840732E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19698800,12139219125] |
[a1,a2,a3,a4,a6] |
Generators |
[90433081860:-18047716859375:2299968] |
Generators of the group modulo torsion |
j |
1434065043456/937890625 |
j-invariant |
L |
6.5172862373398 |
L(r)(E,1)/r! |
Ω |
0.057722911802434 |
Real period |
R |
14.113300147373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16940a1 84700a1 |
Quadratic twists by: 5 -11 |