Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bf |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
6.8932161185422E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-312558766,2126996800216] |
[a1,a2,a3,a4,a6] |
Generators |
[59655670413498:2883365870756:5841725401] |
Generators of the group modulo torsion |
j |
448487713888272974160064/91549016015625 |
j-invariant |
L |
4.5618756264676 |
L(r)(E,1)/r! |
Ω |
0.12750598628775 |
Real period |
R |
17.88886843388 |
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 |
23520br1 47040hi2 70560bv1 117600de1 |
Quadratic twists by: -4 8 -3 5 |