Atkin-Lehner |
2+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
39494o |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-985821021543176 = -1 · 23 · 77 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ 3 -3 7- -2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6526,-1522564] |
[a1,a2,a3,a4,a6] |
j |
-261284780457/8379340424 |
j-invariant |
L |
2.5823084641657 |
L(r)(E,1)/r! |
Ω |
0.21519237202097 |
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 |
5642c1 |
Quadratic twists by: -7 |