Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440w |
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 |
[12:20:1] |
Generators of the group modulo torsion |
j |
42144192/4225 |
j-invariant |
L |
6.4337536526683 |
L(r)(E,1)/r! |
Ω |
1.5733150045781 |
Real period |
R |
2.0446489208918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440y1 18720a2 37440g1 |
Quadratic twists by: -4 8 -3 |