Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25575o |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
30915529541015625 = 32 · 512 · 114 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-104501,9865523] |
[a1,a2,a3,a4,a6] |
j |
8077166791974721/1978593890625 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
76725s2 5115f2 |
Quadratic twists by: -3 5 |