Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480n |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3517910922240 = 210 · 37 · 5 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32187,2220806] |
[a1,a2,a3,a4,a6] |
Generators |
[110:106:1] |
Generators of the group modulo torsion |
j |
4940122601956/4712565 |
j-invariant |
L |
6.0696649002426 |
L(r)(E,1)/r! |
Ω |
0.78640998425668 |
Real period |
R |
3.8590970497015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960bm4 17160m3 |
Quadratic twists by: -4 -3 |