Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218bc |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-13003003832186394 = -1 · 2 · 36 · 139 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 0 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-572688,-166758318] |
[a1,a2,a3,a4,a6] |
Generators |
[1622798081478:62335049603527:868250664] |
Generators of the group modulo torsion |
j |
-5903244155017/3695354 |
j-invariant |
L |
5.9753489913478 |
L(r)(E,1)/r! |
Ω |
0.086770819153217 |
Real period |
R |
17.215894265089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9802d1 6786t1 |
Quadratic twists by: -3 13 |