Atkin-Lehner |
2- 3+ 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
94860f |
Isogeny class |
Conductor |
94860 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-131589792000 = -1 · 28 · 33 · 53 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 3 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,873,-14354] |
[a1,a2,a3,a4,a6] |
Generators |
[15:46:1] |
Generators of the group modulo torsion |
j |
10645417872/19037875 |
j-invariant |
L |
8.9496158125979 |
L(r)(E,1)/r! |
Ω |
0.54524151465352 |
Real period |
R |
2.7356732642444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008308 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94860a2 |
Quadratic twists by: -3 |