Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440bj |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
9097920 = 26 · 37 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2343,-43652] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1116:1] |
Generators of the group modulo torsion |
j |
30488290624/195 |
j-invariant |
L |
5.312397427976 |
L(r)(E,1)/r! |
Ω |
0.68620937831049 |
Real period |
R |
3.8708283476506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440bk1 18720bj2 12480bh1 |
Quadratic twists by: -4 8 -3 |