Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830bi |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
3939083265600 = 26 · 36 · 52 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-633092,-193728409] |
[a1,a2,a3,a4,a6] |
Generators |
[999:12541:1] |
Generators of the group modulo torsion |
j |
38494263748526418169/5403406400 |
j-invariant |
L |
9.4152399610809 |
L(r)(E,1)/r! |
Ω |
0.16925164777559 |
Real period |
R |
4.6357204813177 |
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 |
2870d1 129150o1 |
Quadratic twists by: -3 5 |