Atkin-Lehner |
2- 3+ 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330w |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
3829760 |
Modular degree for the optimal curve |
Δ |
-3.64433539986E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 3 -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8135876,9389093573] |
[a1,a2,a3,a4,a6] |
j |
-59557529967112036078083649/3644335399860000000000 |
j-invariant |
L |
3.0395106391022 |
L(r)(E,1)/r! |
Ω |
0.13815957450463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990y1 |
Quadratic twists by: -3 |