Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550eg |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-70804125000 = -1 · 23 · 37 · 56 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1580,-26953] |
[a1,a2,a3,a4,a6] |
j |
-38272753/6216 |
j-invariant |
L |
4.5035396683363 |
L(r)(E,1)/r! |
Ω |
0.37529500600191 |
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 |
38850be1 4662h1 |
Quadratic twists by: -3 5 |