Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360bc |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
147184128000 = 212 · 35 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-283465,-57995063] |
[a1,a2,a3,a4,a6] |
Generators |
[849:17680:1] |
Generators of the group modulo torsion |
j |
614983729942899136/35933625 |
j-invariant |
L |
6.1328270714302 |
L(r)(E,1)/r! |
Ω |
0.20690670647494 |
Real period |
R |
4.940090449782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360du1 43680l1 |
Quadratic twists by: -4 8 |