Atkin-Lehner |
3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25575i |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3679203515625 = 34 · 58 · 112 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-127876,17589773] |
[a1,a2,a3,a4,a6] |
Generators |
[1718:811:8] |
Generators of the group modulo torsion |
j |
14800143725555761/235469025 |
j-invariant |
L |
7.2225553819408 |
L(r)(E,1)/r! |
Ω |
0.72150671629282 |
Real period |
R |
2.5025946463295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76725y2 5115c2 |
Quadratic twists by: -3 5 |