Atkin-Lehner |
2+ 5- 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
123280d |
Isogeny class |
Conductor |
123280 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
560640 |
Modular degree for the optimal curve |
Δ |
-1018263212800000 = -1 · 211 · 55 · 232 · 673 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 -5 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24080,545268] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:670:1] [31:1150:1] |
Generators of the group modulo torsion |
j |
753954559575838/497198834375 |
j-invariant |
L |
9.4210846565372 |
L(r)(E,1)/r! |
Ω |
0.30897485537341 |
Real period |
R |
0.50819047182434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61640d1 |
Quadratic twists by: -4 |