Atkin-Lehner |
2- 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
107120i |
Isogeny class |
Conductor |
107120 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1507968 |
Modular degree for the optimal curve |
Δ |
6618211585024000 = 213 · 53 · 137 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 3 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2221096,1273340980] |
[a1,a2,a3,a4,a6] |
Generators |
[486:17576:1] |
Generators of the group modulo torsion |
j |
295846168874848406569/1615774312750 |
j-invariant |
L |
5.4526080015128 |
L(r)(E,1)/r! |
Ω |
0.37446806392409 |
Real period |
R |
0.52003366577787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390b1 |
Quadratic twists by: -4 |