Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578w |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-134309745486 = -1 · 2 · 39 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -6 4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2214,-43254] |
[a1,a2,a3,a4,a6] |
j |
-13997521/1566 |
j-invariant |
L |
0.69162011809845 |
L(r)(E,1)/r! |
Ω |
0.34581005904927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8526w1 522e1 |
Quadratic twists by: -3 -7 |