Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400cr |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7884864000000 = 212 · 36 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23433,1366263] |
[a1,a2,a3,a4,a6] |
Generators |
[18:975:1] |
Generators of the group modulo torsion |
j |
22235451328/123201 |
j-invariant |
L |
8.794883551643 |
L(r)(E,1)/r! |
Ω |
0.74330029532708 |
Real period |
R |
0.98601731664414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996958 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400ba2 31200bd1 2496b2 |
Quadratic twists by: -4 8 5 |