Atkin-Lehner |
2+ 3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670bb |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
58490880 |
Modular degree for the optimal curve |
Δ |
-3.3757346974925E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -1 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-770211414,-8227690407180] |
[a1,a2,a3,a4,a6] |
Generators |
[281916:148789602:1] |
Generators of the group modulo torsion |
j |
-69314809654601220097030271329/4630637445120000000000 |
j-invariant |
L |
2.5863009937436 |
L(r)(E,1)/r! |
Ω |
0.014328981787777 |
Real period |
R |
4.5123599620664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000174342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40890bc1 |
Quadratic twists by: -3 |