Atkin-Lehner |
2+ 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904d |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-81093376 = -1 · 28 · 7 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 0 13- -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3212,-70068] |
[a1,a2,a3,a4,a6] |
Generators |
[5897:452821:1] |
Generators of the group modulo torsion |
j |
-14315626423296/316771 |
j-invariant |
L |
5.5094917007231 |
L(r)(E,1)/r! |
Ω |
0.31708456227156 |
Real period |
R |
8.6877324669424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42952c1 |
Quadratic twists by: -4 |