Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360cc |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
302494138635386880 = 232 · 35 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-520161,141777279] |
[a1,a2,a3,a4,a6] |
Generators |
[345:1872:1] |
Generators of the group modulo torsion |
j |
59374229431741561/1153923563520 |
j-invariant |
L |
7.9382296503129 |
L(r)(E,1)/r! |
Ω |
0.30688735354175 |
Real period |
R |
2.5866916817815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004798 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360es1 2730g1 |
Quadratic twists by: -4 8 |