Atkin-Lehner |
2- 3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
46530bf |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
5256578532984372000 = 25 · 326 · 53 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-99275072,-380697563581] |
[a1,a2,a3,a4,a6] |
Generators |
[127107:-45236039:1] |
Generators of the group modulo torsion |
j |
148428333659384077833918649/7210670141268000 |
j-invariant |
L |
10.267588132333 |
L(r)(E,1)/r! |
Ω |
0.047828802073151 |
Real period |
R |
3.5778957752349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510d3 |
Quadratic twists by: -3 |