Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680bn |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-5427110184468480 = -1 · 214 · 320 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-209667,-37122046] |
[a1,a2,a3,a4,a6] |
j |
-341370886042369/1817528220 |
j-invariant |
L |
1.7843035939821 |
L(r)(E,1)/r! |
Ω |
0.11151897462388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1710i1 54720ec1 4560m1 68400ei1 |
Quadratic twists by: -4 8 -3 5 |