Atkin-Lehner |
5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
19525d |
Isogeny class |
Conductor |
19525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-419482421875 = -1 · 511 · 112 · 71 |
Discriminant |
Eigenvalues |
0 0 5+ -3 11- -1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15200,-721969] |
[a1,a2,a3,a4,a6] |
Generators |
[335:5637:1] |
Generators of the group modulo torsion |
j |
-24856183701504/26846875 |
j-invariant |
L |
2.7502951364316 |
L(r)(E,1)/r! |
Ω |
0.21497132667149 |
Real period |
R |
3.1984441588279 |
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 |
3905a1 |
Quadratic twists by: 5 |