Atkin-Lehner |
2+ 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
13490a |
Isogeny class |
Conductor |
13490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
45408 |
Modular degree for the optimal curve |
Δ |
-289695544115200 = -1 · 233 · 52 · 19 · 71 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6879,-848398] |
[a1,a2,a3,a4,a6] |
Generators |
[346:6009:1] |
Generators of the group modulo torsion |
j |
-35992240580216809/289695544115200 |
j-invariant |
L |
2.4091049920149 |
L(r)(E,1)/r! |
Ω |
0.23086292600451 |
Real period |
R |
5.2176090672259 |
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 |
107920i1 121410bl1 67450q1 |
Quadratic twists by: -4 -3 5 |