Atkin-Lehner |
2- 5+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350bd |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-1618684375000000 = -1 · 26 · 511 · 72 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3437,-1932719] |
[a1,a2,a3,a4,a6] |
j |
287365339799/103595800000 |
j-invariant |
L |
5.3397337782508 |
L(r)(E,1)/r! |
Ω |
0.22248892921533 |
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 |
23870h1 |
Quadratic twists by: 5 |