Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310k |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
30015562500 = 22 · 34 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-788,-1762] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:85:1] |
Generators of the group modulo torsion |
j |
54014438633401/30015562500 |
j-invariant |
L |
2.7906020767812 |
L(r)(E,1)/r! |
Ω |
0.96630979261796 |
Real period |
R |
0.24065799067923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480cl2 73920j2 6930z2 11550bs2 |
Quadratic twists by: -4 8 -3 5 |