Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400ee |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-381024000000 = -1 · 211 · 35 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,992,27488] |
[a1,a2,a3,a4,a6] |
j |
68782/243 |
j-invariant |
L |
3.3765866513788 |
L(r)(E,1)/r! |
Ω |
0.67531733027568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800bc1 88200cq1 1176b1 29400cj1 |
Quadratic twists by: -4 -3 5 -7 |