Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43400a |
Isogeny class |
Conductor |
43400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5171717600000000 = 211 · 58 · 7 · 314 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-194675,-32879250] |
[a1,a2,a3,a4,a6] |
Generators |
[-6117703410:7719557318:23149125] |
Generators of the group modulo torsion |
j |
25497892389762/161616175 |
j-invariant |
L |
5.871080784263 |
L(r)(E,1)/r! |
Ω |
0.2273724491384 |
Real period |
R |
12.910712811753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86800p3 8680o3 |
Quadratic twists by: -4 5 |