Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49284g |
Isogeny class |
Conductor |
49284 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
-1106178129464432688 = -1 · 24 · 39 · 378 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-443556,124454421] |
[a1,a2,a3,a4,a6] |
j |
-11943936/1369 |
j-invariant |
L |
2.1422562039147 |
L(r)(E,1)/r! |
Ω |
0.26778202546032 |
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 |
49284f1 1332a1 |
Quadratic twists by: -3 37 |