Atkin-Lehner |
2+ 3+ 5- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42090b |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1770720 |
Modular degree for the optimal curve |
Δ |
-5846947017523200000 = -1 · 231 · 33 · 55 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -6 5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1213342,-527922956] |
[a1,a2,a3,a4,a6] |
Generators |
[3243:170591:1] |
Generators of the group modulo torsion |
j |
-197548603738504606086121/5846947017523200000 |
j-invariant |
L |
3.4213203530287 |
L(r)(E,1)/r! |
Ω |
0.0717986896137 |
Real period |
R |
4.7651570960862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270bj1 |
Quadratic twists by: -3 |