Atkin-Lehner |
3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259i |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-546262299 = -1 · 310 · 11 · 292 |
Discriminant |
Eigenvalues |
-2 3- -1 -2 11+ 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,87,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-41:1] [-14:239:8] |
Generators of the group modulo torsion |
j |
118784/891 |
j-invariant |
L |
5.4020304234713 |
L(r)(E,1)/r! |
Ω |
1.1968487446771 |
Real period |
R |
1.1283861989478 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27753g1 83259p1 |
Quadratic twists by: -3 29 |