Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600bi |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-696000000000 = -1 · 212 · 3 · 59 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 5 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1133,-42363] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2500:1] |
Generators of the group modulo torsion |
j |
-2515456/10875 |
j-invariant |
L |
4.0468430753359 |
L(r)(E,1)/r! |
Ω |
0.37404930782536 |
Real period |
R |
2.7047524160558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69600bu1 13920p1 |
Quadratic twists by: -4 5 |