Atkin-Lehner |
2+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68200i |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13320312500000000 = 28 · 516 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71508,-4806988] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:1500:1] |
Generators of the group modulo torsion |
j |
10109593391056/3330078125 |
j-invariant |
L |
7.8716532110584 |
L(r)(E,1)/r! |
Ω |
0.29964501639305 |
Real period |
R |
3.2837410854655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640j2 |
Quadratic twists by: 5 |