Atkin-Lehner |
2+ 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
30438j |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
3839104274832 = 24 · 313 · 19 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -2 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6723,-188411] |
[a1,a2,a3,a4,a6] |
j |
46102221567793/5266261008 |
j-invariant |
L |
1.0623177974459 |
L(r)(E,1)/r! |
Ω |
0.53115889872403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146j1 |
Quadratic twists by: -3 |