Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200fn |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-559104000000 = -1 · 217 · 3 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3008,71988] |
[a1,a2,a3,a4,a6] |
j |
-47045881/8736 |
j-invariant |
L |
1.7705757325649 |
L(r)(E,1)/r! |
Ω |
0.88528790577556 |
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 |
13650by1 4368r1 |
Quadratic twists by: -4 5 |