Atkin-Lehner |
2- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200cz |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
354240 |
Modular degree for the optimal curve |
Δ |
-9334700000000 = -1 · 28 · 58 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100000,-12172500] |
[a1,a2,a3,a4,a6] |
j |
-1105920000000/93347 |
j-invariant |
L |
2.4162385387311 |
L(r)(E,1)/r! |
Ω |
0.1342354922394 |
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 |
32300u1 129200be1 |
Quadratic twists by: -4 5 |