Atkin-Lehner |
2- 3+ 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
25662r |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
40768 |
Modular degree for the optimal curve |
Δ |
-56272454784 = -1 · 27 · 37 · 7 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4459,-117031] |
[a1,a2,a3,a4,a6] |
j |
-9804878503173937/56272454784 |
j-invariant |
L |
4.0882618922379 |
L(r)(E,1)/r! |
Ω |
0.2920187065884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76986n1 |
Quadratic twists by: -3 |