Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46746bg |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-8742397325764032 = -1 · 26 · 310 · 77 · 532 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57119,6931271] |
[a1,a2,a3,a4,a6] |
j |
-240293820313/101932992 |
j-invariant |
L |
4.6337758677464 |
L(r)(E,1)/r! |
Ω |
0.38614798902424 |
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 |
15582m1 6678p1 |
Quadratic twists by: -3 -7 |