Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010bi |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
5765760 |
Modular degree for the optimal curve |
Δ |
-7.0304186921657E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 0 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2412026,-1498229881] |
[a1,a2,a3,a4,a6] |
Generators |
[1931:31423:1] |
Generators of the group modulo torsion |
j |
-269206386074094049/12195423037440 |
j-invariant |
L |
9.420452474213 |
L(r)(E,1)/r! |
Ω |
0.060412398025527 |
Real period |
R |
4.7253257051701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999822519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010dm1 |
Quadratic twists by: -7 |