Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215j |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
23346225 = 37 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225,1336] |
[a1,a2,a3,a4,a6] |
Generators |
[12:10:1] |
Generators of the group modulo torsion |
j |
1732323601/32025 |
j-invariant |
L |
4.9043510032099 |
L(r)(E,1)/r! |
Ω |
2.1373768081959 |
Real period |
R |
2.2945654619269 |
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 |
6405f1 96075bo1 |
Quadratic twists by: -3 5 |