Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
39760q |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-651427840 = -1 · 218 · 5 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 3 -2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83,-1262] |
[a1,a2,a3,a4,a6] |
j |
-15438249/159040 |
j-invariant |
L |
1.3741378374023 |
L(r)(E,1)/r! |
Ω |
0.68706891870413 |
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 |
4970b1 |
Quadratic twists by: -4 |