Atkin-Lehner |
2- 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530z |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-150320640000 = -1 · 212 · 3 · 54 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,690,-17013] |
[a1,a2,a3,a4,a6] |
j |
36327176624159/150320640000 |
j-invariant |
L |
3.1239642348794 |
L(r)(E,1)/r! |
Ω |
0.52066070581326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76590p1 127650bi1 |
Quadratic twists by: -3 5 |