Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296bh |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1035158573232 = -1 · 24 · 39 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -4 2 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5358,158695] |
[a1,a2,a3,a4,a6] |
j |
-1458425767936/88748163 |
j-invariant |
L |
3.4517238382065 |
L(r)(E,1)/r! |
Ω |
0.8629309595454 |
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 |
18648j1 12432u1 |
Quadratic twists by: -4 -3 |