Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200fi |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2416335667200 = -1 · 214 · 33 · 52 · 75 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20168,-1111692] |
[a1,a2,a3,a4,a6] |
j |
-8860001331505/23597028 |
j-invariant |
L |
1.2016662541481 |
L(r)(E,1)/r! |
Ω |
0.20027778201566 |
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 |
13650h1 109200eq1 |
Quadratic twists by: -4 5 |