Atkin-Lehner |
2+ 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119520c |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1633689000000 = 26 · 39 · 56 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2997,-14364] |
[a1,a2,a3,a4,a6] |
j |
2363266368/1296875 |
j-invariant |
L |
4.1382491076073 |
L(r)(E,1)/r! |
Ω |
0.68970810023319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520n1 119520l1 |
Quadratic twists by: -4 -3 |