Atkin-Lehner |
2- 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482cs |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
-546726499268511744 = -1 · 211 · 33 · 77 · 13 · 314 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 1 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7228334,7479548292] |
[a1,a2,a3,a4,a6] |
Generators |
[2524:71650:1] |
Generators of the group modulo torsion |
j |
-355017785984411698513/4647098566656 |
j-invariant |
L |
17.382941652988 |
L(r)(E,1)/r! |
Ω |
0.26599348467965 |
Real period |
R |
0.24754168670261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16926bd1 |
Quadratic twists by: -7 |