Atkin-Lehner |
3+ 7+ 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
38157a |
Isogeny class |
Conductor |
38157 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
568320 |
Modular degree for the optimal curve |
Δ |
-4587955709093379 = -1 · 33 · 74 · 23 · 795 |
Discriminant |
Eigenvalues |
2 3+ 3 7+ 5 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-154404,-23527537] |
[a1,a2,a3,a4,a6] |
j |
-407100996887366029312/4587955709093379 |
j-invariant |
L |
4.8136342288775 |
L(r)(E,1)/r! |
Ω |
0.12034085571996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114471q1 |
Quadratic twists by: -3 |