Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25575o |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-654761958984375 = -1 · 3 · 59 · 112 · 314 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15624,976273] |
[a1,a2,a3,a4,a6] |
j |
26997300089999/41904765375 |
j-invariant |
L |
5.5711177419004 |
L(r)(E,1)/r! |
Ω |
0.34819485886878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76725s1 5115f1 |
Quadratic twists by: -3 5 |