Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456cc |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-13103585335148544 = -1 · 215 · 315 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 4 -2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-294771,-61844942] |
[a1,a2,a3,a4,a6] |
Generators |
[3692754:13517209:5832] |
Generators of the group modulo torsion |
j |
-948616119380593/4388364216 |
j-invariant |
L |
8.944792747899 |
L(r)(E,1)/r! |
Ω |
0.10241844486805 |
Real period |
R |
10.916970034423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16182f1 43152bc1 |
Quadratic twists by: -4 -3 |