Atkin-Lehner |
2+ 3+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
24648d |
Isogeny class |
Conductor |
24648 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
819929988417226752 = 211 · 37 · 135 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 6 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1196824,-501671732] |
[a1,a2,a3,a4,a6] |
j |
92573139247134307634/400356439656849 |
j-invariant |
L |
0.7218965383555 |
L(r)(E,1)/r! |
Ω |
0.14437930767112 |
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 |
49296m1 73944w1 |
Quadratic twists by: -4 -3 |