Atkin-Lehner |
2+ 3- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11346c |
Isogeny class |
Conductor |
11346 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-5151663393202176 = -1 · 213 · 3 · 314 · 613 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 2 -4 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-267100,53222042] |
[a1,a2,a3,a4,a6] |
j |
-2107380896664286437433/5151663393202176 |
j-invariant |
L |
0.86376651129832 |
L(r)(E,1)/r! |
Ω |
0.43188325564916 |
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 |
90768h1 34038g1 |
Quadratic twists by: -4 -3 |