Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51800c |
Isogeny class |
Conductor |
51800 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-166859694316000000 = -1 · 28 · 56 · 77 · 373 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 5 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-820700,286844500] |
[a1,a2,a3,a4,a6] |
Generators |
[1074:25382:1] |
Generators of the group modulo torsion |
j |
-15283295882302464/41714923579 |
j-invariant |
L |
6.1211559491217 |
L(r)(E,1)/r! |
Ω |
0.3234210569843 |
Real period |
R |
0.22531280070497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600g1 2072d1 |
Quadratic twists by: -4 5 |