Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840bf |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
102886977600 = 26 · 312 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1857,-26656] |
[a1,a2,a3,a4,a6] |
Generators |
[343:6300:1] |
Generators of the group modulo torsion |
j |
15179306176/2205225 |
j-invariant |
L |
5.369663836579 |
L(r)(E,1)/r! |
Ω |
0.73432464451211 |
Real period |
R |
3.6561920376148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15840bc1 31680ch2 5280a1 79200bj1 |
Quadratic twists by: -4 8 -3 5 |