Atkin-Lehner |
5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25025i |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1543680 |
Modular degree for the optimal curve |
Δ |
-7.0242132655468E+20 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21655292,-38803254509] |
[a1,a2,a3,a4,a6] |
Generators |
[1398756474:55700474063:226981] |
Generators of the group modulo torsion |
j |
-71877974412415806187281/44954964899499655 |
j-invariant |
L |
5.7523625179187 |
L(r)(E,1)/r! |
Ω |
0.034991475514525 |
Real period |
R |
13.69943782339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5005d1 |
Quadratic twists by: 5 |