Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160cu |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
931467600 = 24 · 35 · 52 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-505,3950] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:90:1] |
Generators of the group modulo torsion |
j |
891943960576/58216725 |
j-invariant |
L |
9.5270171359492 |
L(r)(E,1)/r! |
Ω |
1.5425906537976 |
Real period |
R |
1.2351970514274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000312 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540f1 |
Quadratic twists by: -4 |