Atkin-Lehner |
2- 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616w |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-15556801462272 = -1 · 221 · 35 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 0 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5857,258433] |
[a1,a2,a3,a4,a6] |
j |
-84778086457/59344488 |
j-invariant |
L |
3.8627373270633 |
L(r)(E,1)/r! |
Ω |
0.64378962871385 |
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 |
119616k1 29904h1 |
Quadratic twists by: -4 8 |