Atkin-Lehner |
2+ 3- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
72816c |
Isogeny class |
Conductor |
72816 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
993162691152 = 24 · 36 · 373 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 4 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16515,-821016] |
[a1,a2,a3,a4,a6] |
Generators |
[1404:52398:1] |
Generators of the group modulo torsion |
j |
31136210898774016/62072668197 |
j-invariant |
L |
5.0254722517742 |
L(r)(E,1)/r! |
Ω |
0.42119163039557 |
Real period |
R |
3.9771859088816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36408b1 |
Quadratic twists by: -4 |