Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472o |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-616605696 = -1 · 211 · 36 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 2 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,-1006] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
207646/413 |
j-invariant |
L |
3.4285800281165 |
L(r)(E,1)/r! |
Ω |
0.84798725217554 |
Real period |
R |
1.0107994015853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29736g1 6608a1 |
Quadratic twists by: -4 -3 |