Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440y |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
7300800 = 26 · 33 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87,284] |
[a1,a2,a3,a4,a6] |
Generators |
[8:10:1] |
Generators of the group modulo torsion |
j |
42144192/4225 |
j-invariant |
L |
6.0375652147483 |
L(r)(E,1)/r! |
Ω |
2.2856519540379 |
Real period |
R |
1.3207534078148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440w1 18720w2 37440k1 |
Quadratic twists by: -4 8 -3 |