Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
1770c |
Isogeny class |
Conductor |
1770 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-185308378300800 = -1 · 27 · 34 · 52 · 595 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -5 -3 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1104,655006] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:483:1] |
Generators of the group modulo torsion |
j |
-148615915769209/185308378300800 |
j-invariant |
L |
2.4360330896836 |
L(r)(E,1)/r! |
Ω |
0.45816405400896 |
Real period |
R |
0.13292362573887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14160m1 56640j1 5310p1 8850w1 |
Quadratic twists by: -4 8 -3 5 |