Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200cz |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4718592 |
Modular degree for the optimal curve |
Δ |
-1.1256250289357E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8704008,-10011913488] |
[a1,a2,a3,a4,a6] |
j |
-1139466686381936641/17587891077120 |
j-invariant |
L |
0.35126214687769 |
L(r)(E,1)/r! |
Ω |
0.04390777219123 |
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 |
13650bd1 21840cl1 |
Quadratic twists by: -4 5 |