Atkin-Lehner |
2- 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860k |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
714240 |
Modular degree for the optimal curve |
Δ |
6645892050000 = 24 · 36 · 55 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -6 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459192,119767601] |
[a1,a2,a3,a4,a6] |
Generators |
[382:315:1] |
Generators of the group modulo torsion |
j |
918034792531492864/569778125 |
j-invariant |
L |
4.2854104598686 |
L(r)(E,1)/r! |
Ω |
0.61881692150808 |
Real period |
R |
0.23083889654722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8540b1 |
Quadratic twists by: -3 |