Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600x |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2255040000000 = -1 · 212 · 35 · 57 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 5 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2467,55563] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-300:1] |
Generators of the group modulo torsion |
j |
25934336/35235 |
j-invariant |
L |
6.7775613427374 |
L(r)(E,1)/r! |
Ω |
0.55369418142072 |
Real period |
R |
0.30601555741419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69600bg1 13920w1 |
Quadratic twists by: -4 5 |