Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215g |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
7782075 = 36 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 1 -2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225,1350] |
[a1,a2,a3,a4,a6] |
Generators |
[10:0:1] |
Generators of the group modulo torsion |
j |
1732323601/10675 |
j-invariant |
L |
4.7796523144887 |
L(r)(E,1)/r! |
Ω |
2.3531702327832 |
Real period |
R |
1.0155772514672 |
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 |
2135f1 96075bl1 |
Quadratic twists by: -3 5 |