Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600gf |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
653184 |
Modular degree for the optimal curve |
Δ |
-1245197016000000 = -1 · 29 · 33 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88608,-10322712] |
[a1,a2,a3,a4,a6] |
Generators |
[3003078:108175458:2197] |
Generators of the group modulo torsion |
j |
-1668296/27 |
j-invariant |
L |
9.1589257364884 |
L(r)(E,1)/r! |
Ω |
0.13822399791865 |
Real period |
R |
11.043578805179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600ee1 4704c1 117600eo1 |
Quadratic twists by: -4 5 -7 |