Atkin-Lehner |
2- 3+ 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10614l |
Isogeny class |
Conductor |
10614 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-209775096 = -1 · 23 · 35 · 29 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 -4 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42,687] |
[a1,a2,a3,a4,a6] |
Generators |
[15:53:1] |
Generators of the group modulo torsion |
j |
-8205738913/209775096 |
j-invariant |
L |
4.8949952274386 |
L(r)(E,1)/r! |
Ω |
1.4896274141423 |
Real period |
R |
0.54767556649471 |
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 |
84912z1 31842f1 |
Quadratic twists by: -4 -3 |