Atkin-Lehner |
2+ 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640f |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
38027556000000 = 28 · 310 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3168796,2172205120] |
[a1,a2,a3,a4,a6] |
j |
13745695765783090269904/148545140625 |
j-invariant |
L |
0.90949902840943 |
L(r)(E,1)/r! |
Ω |
0.45474951419929 |
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 |
19320h1 115920bw1 |
Quadratic twists by: -4 -3 |