Atkin-Lehner |
2- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
31600x |
Isogeny class |
Conductor |
31600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-1617920000 = -1 · 215 · 54 · 79 |
Discriminant |
Eigenvalues |
2- -1 5- 4 0 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608,-5888] |
[a1,a2,a3,a4,a6] |
Generators |
[32:80:1] |
Generators of the group modulo torsion |
j |
-9725425/632 |
j-invariant |
L |
4.891010218352 |
L(r)(E,1)/r! |
Ω |
0.47885767979955 |
Real period |
R |
0.85115933617953 |
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 |
3950j1 126400cl1 31600h1 |
Quadratic twists by: -4 8 5 |