Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208cq |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
-3912054880075776 = -1 · 219 · 37 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,3009012] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:1728:1] |
Generators of the group modulo torsion |
j |
-117649/8118144 |
j-invariant |
L |
9.4719265449404 |
L(r)(E,1)/r! |
Ω |
0.35146991154002 |
Real period |
R |
0.96248094005309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8526o1 1392k1 |
Quadratic twists by: -4 -7 |