Atkin-Lehner |
2+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2146b |
Isogeny class |
Conductor |
2146 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
-34189865984 = -1 · 210 · 293 · 372 |
Discriminant |
Eigenvalues |
2+ -1 -1 0 5 -3 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14938,696596] |
[a1,a2,a3,a4,a6] |
Generators |
[100:414:1] |
Generators of the group modulo torsion |
j |
-368677389247668649/34189865984 |
j-invariant |
L |
1.8369737752203 |
L(r)(E,1)/r! |
Ω |
1.1129689126034 |
Real period |
R |
0.1375430582126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17168n1 68672a1 19314q1 53650h1 |
Quadratic twists by: -4 8 -3 5 |