Atkin-Lehner |
2+ 3+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080l |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
21838080 = 28 · 3 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-220,1312] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:44:1] [33:170:1] |
Generators of the group modulo torsion |
j |
4620876496/85305 |
j-invariant |
L |
10.488081087049 |
L(r)(E,1)/r! |
Ω |
2.1493307202281 |
Real period |
R |
4.8796962667762 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999956951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62040j1 |
Quadratic twists by: -4 |