Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400f |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-685882591660800 = -1 · 28 · 36 · 52 · 435 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 6 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44580,3835780] |
[a1,a2,a3,a4,a6] |
j |
-2100082723840/147008443 |
j-invariant |
L |
4.0069281901991 |
L(r)(E,1)/r! |
Ω |
0.500866027288 |
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 |
8600f1 77400bw1 |
Quadratic twists by: -3 5 |