Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474bf |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-226526763840858 = -1 · 2 · 33 · 13 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -5 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6430,694795] |
[a1,a2,a3,a4,a6] |
j |
3375/26 |
j-invariant |
L |
1.6304418005128 |
L(r)(E,1)/r! |
Ω |
0.40761043749913 |
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 |
84474a1 84474e1 |
Quadratic twists by: -3 -19 |