Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400dv |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
3896709120000000 = 218 · 38 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39675,-481750] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:1600:1] |
Generators of the group modulo torsion |
j |
148035889/83520 |
j-invariant |
L |
6.0594700110693 |
L(r)(E,1)/r! |
Ω |
0.36439445958587 |
Real period |
R |
1.0393046997379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13050be1 34800ca1 20880cj1 |
Quadratic twists by: -4 -3 5 |