Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600bj |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
16602626880000 = 29 · 32 · 54 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20008,-1064888] |
[a1,a2,a3,a4,a6] |
j |
480200/9 |
j-invariant |
L |
2.4112512496748 |
L(r)(E,1)/r! |
Ω |
0.4018751048389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600dr1 117600gk1 117600dy1 |
Quadratic twists by: -4 5 -7 |