Atkin-Lehner |
3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23265o |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-2508222915 = -1 · 36 · 5 · 114 · 47 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 11+ 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,87,2389] |
[a1,a2,a3,a4,a6] |
Generators |
[434:3263:8] |
Generators of the group modulo torsion |
j |
99897344/3440635 |
j-invariant |
L |
8.9417626167902 |
L(r)(E,1)/r! |
Ω |
1.0919380549458 |
Real period |
R |
2.0472229574494 |
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 |
2585b1 116325s1 |
Quadratic twists by: -3 5 |