Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616y |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
681984 |
Modular degree for the optimal curve |
Δ |
-920775413968666624 = -1 · 218 · 378 |
Discriminant |
Eigenvalues |
2- 0 -1 -2 -2 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,202612,29986576] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5476:1] [119500:41309976:1] |
Generators of the group modulo torsion |
j |
999 |
j-invariant |
L |
9.5105686353457 |
L(r)(E,1)/r! |
Ω |
0.18425145129134 |
Real period |
R |
8.6028889405265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616b1 21904e1 87616x1 |
Quadratic twists by: -4 8 37 |