Atkin-Lehner |
2+ 3+ 5+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42090a |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-22491828597600000 = -1 · 28 · 33 · 55 · 234 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-170343,-28077003] |
[a1,a2,a3,a4,a6] |
Generators |
[51997949014:-1801855609795:39651821] |
Generators of the group modulo torsion |
j |
-546638946155068818169/22491828597600000 |
j-invariant |
L |
3.3967453338965 |
L(r)(E,1)/r! |
Ω |
0.11721761305562 |
Real period |
R |
14.489056914526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126270bo1 |
Quadratic twists by: -3 |