Atkin-Lehner |
2+ 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
49800r |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-1837798802398080000 = -1 · 210 · 36 · 54 · 835 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 -1 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1068608,-430512912] |
[a1,a2,a3,a4,a6] |
j |
-210862527562533700/2871560628747 |
j-invariant |
L |
4.451069059613 |
L(r)(E,1)/r! |
Ω |
0.074184484329736 |
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 |
99600m1 49800u1 |
Quadratic twists by: -4 5 |