Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3654m |
Isogeny class |
Conductor |
3654 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-114563248128 = -1 · 212 · 39 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1197,-22491] |
[a1,a2,a3,a4,a6] |
j |
-260305116625/157151232 |
j-invariant |
L |
1.5797136630261 |
L(r)(E,1)/r! |
Ω |
0.39492841575652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29232bc1 116928bw1 1218k1 91350ee1 |
Quadratic twists by: -4 8 -3 5 |