Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808j |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-2046713532510666096 = -1 · 24 · 39 · 79 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ 3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5891319,5504284611] |
[a1,a2,a3,a4,a6] |
j |
-610325920583424/55240493 |
j-invariant |
L |
2.0010047621846 |
L(r)(E,1)/r! |
Ω |
0.25012559527574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616bd1 38808by1 5544a1 |
Quadratic twists by: -4 -3 -7 |