Atkin-Lehner |
2- 3+ 11+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28842k |
Isogeny class |
Conductor |
28842 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
17910882 = 2 · 34 · 11 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-95524704,-359393124513] |
[a1,a2,a3,a4,a6] |
Generators |
[14209641938529571603230:-4537367702899529212726607:138485316172553000] |
Generators of the group modulo torsion |
j |
96398619446564067763779872257/17910882 |
j-invariant |
L |
7.019165804706 |
L(r)(E,1)/r! |
Ω |
0.048291492673135 |
Real period |
R |
36.337486253613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86526k4 |
Quadratic twists by: -3 |