Atkin-Lehner |
2+ 3+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10614d |
Isogeny class |
Conductor |
10614 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-859238793216 = -1 · 215 · 35 · 29 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -3 2 -2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122,-44652] |
[a1,a2,a3,a4,a6] |
Generators |
[183:2379:1] |
Generators of the group modulo torsion |
j |
-203401212841/859238793216 |
j-invariant |
L |
2.6447048007199 |
L(r)(E,1)/r! |
Ω |
0.40375681116109 |
Real period |
R |
3.2751209733336 |
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 |
84912bd1 31842y1 |
Quadratic twists by: -4 -3 |