Atkin-Lehner |
2- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
4810h |
Isogeny class |
Conductor |
4810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
145793024000 = 216 · 53 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46432,3862531] |
[a1,a2,a3,a4,a6] |
Generators |
[61:1089:1] |
Generators of the group modulo torsion |
j |
11070496924384049361/145793024000 |
j-invariant |
L |
5.6271012635556 |
L(r)(E,1)/r! |
Ω |
0.93925129570652 |
Real period |
R |
0.99850829578801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38480v1 43290p1 24050a1 62530a1 |
Quadratic twists by: -4 -3 5 13 |