Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
350a |
Isogeny class |
Conductor |
350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1914062500 = 22 · 510 · 72 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-442,-2784] |
[a1,a2,a3,a4,a6] |
j |
611960049/122500 |
j-invariant |
L |
1.0556963012166 |
L(r)(E,1)/r! |
Ω |
1.0556963012166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2800o2 11200p2 3150bm2 70a2 |
Quadratic twists by: -4 8 -3 5 |