Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530k |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
3821814908190720000 = 232 · 38 · 54 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-425475,50743125] |
[a1,a2,a3,a4,a6] |
Generators |
[75:4350:1] |
Generators of the group modulo torsion |
j |
11684735845700727601/5242544455680000 |
j-invariant |
L |
2.8642571294254 |
L(r)(E,1)/r! |
Ω |
0.22300534177164 |
Real period |
R |
3.210973677436 |
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 |
6510ba1 97650ed1 |
Quadratic twists by: -3 5 |