Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208bb |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
385180943616 = 28 · 32 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 0 3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1829,-3303] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:147:1] |
Generators of the group modulo torsion |
j |
458752/261 |
j-invariant |
L |
6.976716314233 |
L(r)(E,1)/r! |
Ω |
0.78898293014923 |
Real period |
R |
0.73688923297633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17052j1 68208da1 |
Quadratic twists by: -4 -7 |