Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675t |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
728373515625 = 38 · 57 · 72 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-299817,-63112784] |
[a1,a2,a3,a4,a6] |
Generators |
[-254028012:129448606:804357] |
Generators of the group modulo torsion |
j |
261665059972681/63945 |
j-invariant |
L |
7.5006134382674 |
L(r)(E,1)/r! |
Ω |
0.20402595979876 |
Real period |
R |
9.1907586731373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15225e1 9135d1 |
Quadratic twists by: -3 5 |