Atkin-Lehner |
2+ 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46176h |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
49304054592 = 26 · 36 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 4 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1409018,-643288980] |
[a1,a2,a3,a4,a6] |
j |
4833855568873292248000/770375853 |
j-invariant |
L |
2.2171260072799 |
L(r)(E,1)/r! |
Ω |
0.13857037545957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46176l1 92352ce2 |
Quadratic twists by: -4 8 |