Atkin-Lehner |
2+ 3- 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
120510f |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2228224 |
Modular degree for the optimal curve |
Δ |
-1.2262918360714E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,537750,-73269900] |
[a1,a2,a3,a4,a6] |
Generators |
[410376:14915541:512] |
Generators of the group modulo torsion |
j |
23590491355736603999/16821561537331200 |
j-invariant |
L |
4.5338401368921 |
L(r)(E,1)/r! |
Ω |
0.12688345703907 |
Real period |
R |
8.9330797614848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999301264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40170u1 |
Quadratic twists by: -3 |