Atkin-Lehner |
2+ 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840i |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-28986499399680000 = -1 · 228 · 37 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 3 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-144321,22685121] |
[a1,a2,a3,a4,a6] |
j |
-1268163904241521/110574720000 |
j-invariant |
L |
1.4599274555543 |
L(r)(E,1)/r! |
Ω |
0.36498186302953 |
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 |
75840cd1 2370o1 |
Quadratic twists by: -4 8 |