Atkin-Lehner |
2+ 5- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53360h |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30080 |
Modular degree for the optimal curve |
Δ |
4268800000 = 211 · 55 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 -3 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-640,5600] |
[a1,a2,a3,a4,a6] |
Generators |
[20:20:1] [-20:100:1] |
Generators of the group modulo torsion |
j |
14177905922/2084375 |
j-invariant |
L |
7.46477478891 |
L(r)(E,1)/r! |
Ω |
1.3275955780526 |
Real period |
R |
0.28113888417208 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26680h1 |
Quadratic twists by: -4 |