Atkin-Lehner |
2- 3+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4674d |
Isogeny class |
Conductor |
4674 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-10222038 = -1 · 2 · 38 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 3 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-315,-2289] |
[a1,a2,a3,a4,a6] |
j |
-3457335616561/10222038 |
j-invariant |
L |
1.1330206800912 |
L(r)(E,1)/r! |
Ω |
0.56651034004558 |
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 |
37392t1 14022c1 116850u1 88806m1 |
Quadratic twists by: -4 -3 5 -19 |