Atkin-Lehner |
5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62465j |
Isogeny class |
Conductor |
62465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
-9682075 = -1 · 52 · 13 · 313 |
Discriminant |
Eigenvalues |
0 0 5- -2 3 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-62,240] |
[a1,a2,a3,a4,a6] |
Generators |
[0:15:1] |
Generators of the group modulo torsion |
j |
-884736/325 |
j-invariant |
L |
4.3171831249392 |
L(r)(E,1)/r! |
Ω |
2.1629938607042 |
Real period |
R |
0.49898236001052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62465k1 |
Quadratic twists by: -31 |