Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215h |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
333656465625 = 36 · 55 · 74 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35595,-2575800] |
[a1,a2,a3,a4,a6] |
Generators |
[110823016:-6805171896:29791] |
Generators of the group modulo torsion |
j |
6841794706150321/457690625 |
j-invariant |
L |
4.5784292113451 |
L(r)(E,1)/r! |
Ω |
0.34757895780214 |
Real period |
R |
13.172342883747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2135g1 96075bm1 |
Quadratic twists by: -3 5 |