Atkin-Lehner |
2- 3+ 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190v |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
194560 |
Modular degree for the optimal curve |
Δ |
-126952725600000 = -1 · 28 · 38 · 55 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3846,-551421] |
[a1,a2,a3,a4,a6] |
j |
-6291563864178529/126952725600000 |
j-invariant |
L |
2.0239151848324 |
L(r)(E,1)/r! |
Ω |
0.25298939811139 |
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 |
114570r1 |
Quadratic twists by: -3 |