Atkin-Lehner |
2+ 3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38430v |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2002587026107276350 = -1 · 2 · 322 · 52 · 73 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-342279,102926803] |
[a1,a2,a3,a4,a6] |
j |
-6083277961179405169/2747032957623150 |
j-invariant |
L |
2.9403146506506 |
L(r)(E,1)/r! |
Ω |
0.24502622088793 |
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 |
12810j2 |
Quadratic twists by: -3 |