Atkin-Lehner |
2+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7480b |
Isogeny class |
Conductor |
7480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-29399392000 = -1 · 28 · 53 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,73,-8246] |
[a1,a2,a3,a4,a6] |
j |
168055344/114841375 |
j-invariant |
L |
1.6505953766019 |
L(r)(E,1)/r! |
Ω |
0.5501984588673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14960b1 59840e1 67320bg1 37400n1 |
Quadratic twists by: -4 8 -3 5 |