Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600cu |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-200658124800 = -1 · 219 · 37 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1953,-40257] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-864:1] |
Generators of the group modulo torsion |
j |
-125768785/30618 |
j-invariant |
L |
6.9351293698016 |
L(r)(E,1)/r! |
Ω |
0.35451195983533 |
Real period |
R |
0.69865962179013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600eg1 1050b1 100800ev1 33600bh1 |
Quadratic twists by: -4 8 -3 5 |