Atkin-Lehner |
2- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
7670f |
Isogeny class |
Conductor |
7670 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-2010644480 = -1 · 219 · 5 · 13 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 0 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-149696,22230369] |
[a1,a2,a3,a4,a6] |
Generators |
[213:149:1] |
Generators of the group modulo torsion |
j |
-370983403154885372929/2010644480 |
j-invariant |
L |
4.1706467595625 |
L(r)(E,1)/r! |
Ω |
1.0020820844301 |
Real period |
R |
0.2190516401781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61360f1 69030s1 38350f1 99710k1 |
Quadratic twists by: -4 -3 5 13 |