Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360z |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-61952000 = -1 · 212 · 53 · 112 |
Discriminant |
Eigenvalues |
2- -1 5- -1 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,-383] |
[a1,a2,a3,a4,a6] |
Generators |
[7:4:1] [9:20:1] |
Generators of the group modulo torsion |
j |
704/125 |
j-invariant |
L |
6.3948293048157 |
L(r)(E,1)/r! |
Ω |
0.92889838389077 |
Real period |
R |
0.57369293704206 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19360h1 38720i1 96800f1 19360j1 |
Quadratic twists by: -4 8 5 -11 |