Atkin-Lehner |
2+ 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59328g |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-3690676224 = -1 · 214 · 37 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 0 -3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,2864] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-72:1] [-8:36:1] |
Generators of the group modulo torsion |
j |
21296/309 |
j-invariant |
L |
8.5008544543762 |
L(r)(E,1)/r! |
Ω |
1.0389241649153 |
Real period |
R |
0.51139767592339 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328bn1 3708a1 19776b1 |
Quadratic twists by: -4 8 -3 |