Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bc |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-90181494374400 = -1 · 220 · 37 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4784,-440384] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1830:1] |
Generators of the group modulo torsion |
j |
2955605685551/22016966400 |
j-invariant |
L |
4.5654500059053 |
L(r)(E,1)/r! |
Ω |
0.30007805211486 |
Real period |
R |
3.8035520873068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290ba1 102960et1 |
Quadratic twists by: -4 -3 |