Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600es |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
61765725000000 = 26 · 3 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32258,-2186988] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:50:1] |
Generators of the group modulo torsion |
j |
31554496/525 |
j-invariant |
L |
3.9694240781693 |
L(r)(E,1)/r! |
Ω |
0.35659664879076 |
Real period |
R |
2.7828528739439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600gp1 23520s1 16800bv1 |
Quadratic twists by: -4 5 -7 |