Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504bx |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-324516599784419328 = -1 · 212 · 37 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 11- 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2292869,1337385645] |
[a1,a2,a3,a4,a6] |
j |
-1518309117952/369603 |
j-invariant |
L |
0.59471500797911 |
L(r)(E,1)/r! |
Ω |
0.29735751449096 |
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 |
4719m1 75504bm1 |
Quadratic twists by: -4 -11 |