Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080cg |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-217976832000000000 = -1 · 221 · 36 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115361,27017439] |
[a1,a2,a3,a4,a6] |
j |
-647686121198761/831515625000 |
j-invariant |
L |
3.4170412651564 |
L(r)(E,1)/r! |
Ω |
0.28475343896918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080g1 17520p1 |
Quadratic twists by: -4 8 |