Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38148h |
Isogeny class |
Conductor |
38148 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
440640 |
Modular degree for the optimal curve |
Δ |
-1159942787192242944 = -1 · 28 · 310 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 11- 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-209621,63706689] |
[a1,a2,a3,a4,a6] |
j |
-570425344/649539 |
j-invariant |
L |
1.9896062296036 |
L(r)(E,1)/r! |
Ω |
0.24870077870337 |
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 |
114444m1 38148j1 |
Quadratic twists by: -3 17 |