Atkin-Lehner |
2+ 3- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
48840k |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
312576000 = 211 · 3 · 53 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-440,-3600] |
[a1,a2,a3,a4,a6] |
j |
4610398322/152625 |
j-invariant |
L |
3.1329734401505 |
L(r)(E,1)/r! |
Ω |
1.0443244802457 |
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 |
97680h1 |
Quadratic twists by: -4 |