Atkin-Lehner |
2+ 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650t |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13248000 |
Modular degree for the optimal curve |
Δ |
-8.47043407872E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4538999,-13498540852] |
[a1,a2,a3,a4,a6] |
j |
661887355963112173439/5421077810380800000 |
j-invariant |
L |
3.4243416312289 |
L(r)(E,1)/r! |
Ω |
0.05350533812322 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930bg1 |
Quadratic twists by: 5 |