Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600cq |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-2706267633120000 = -1 · 28 · 313 · 54 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 -3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53533,5366663] |
[a1,a2,a3,a4,a6] |
Generators |
[263:-3090:1] [-217:2610:1] |
Generators of the group modulo torsion |
j |
-106041677209600/16914172707 |
j-invariant |
L |
14.585810911119 |
L(r)(E,1)/r! |
Ω |
0.43832403067426 |
Real period |
R |
0.21330974657581 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30900d1 123600bd1 |
Quadratic twists by: -4 5 |