Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24180h |
Isogeny class |
Conductor |
24180 |
Conductor |
∏ cp |
65 |
Product of Tamagawa factors cp |
deg |
4043520 |
Modular degree for the optimal curve |
Δ |
4.1929353189572E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18945005,-6069581025] |
[a1,a2,a3,a4,a6] |
j |
2937432816533527188545536/1637865358967637028125 |
j-invariant |
L |
5.0480987841925 |
L(r)(E,1)/r! |
Ω |
0.077663058218347 |
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 |
96720ce1 72540q1 120900q1 |
Quadratic twists by: -4 -3 5 |