Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720cg |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
31179473600 = 26 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,-32074] |
[a1,a2,a3,a4,a6] |
Generators |
[-1995704550:1344499849:91125000] |
Generators of the group modulo torsion |
j |
7529536/275 |
j-invariant |
L |
9.3128717100678 |
L(r)(E,1)/r! |
Ω |
0.71764391321266 |
Real period |
R |
12.977009264074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720ci1 19360bb2 3520s1 |
Quadratic twists by: -4 8 -11 |