Atkin-Lehner |
2- 3+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
124236f |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
639360 |
Modular degree for the optimal curve |
Δ |
2194544492815248 = 24 · 39 · 75 · 17 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 6 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35829,1316817] |
[a1,a2,a3,a4,a6] |
j |
16151635236096/6968400691 |
j-invariant |
L |
4.1706552159095 |
L(r)(E,1)/r! |
Ω |
0.41706558027625 |
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 |
124236e1 |
Quadratic twists by: -3 |