Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
350a |
Isogeny class |
Conductor |
350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1875781250 = 2 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6692,-209034] |
[a1,a2,a3,a4,a6] |
j |
2121328796049/120050 |
j-invariant |
L |
1.0556963012166 |
L(r)(E,1)/r! |
Ω |
0.52784815060828 |
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 |
2800o4 11200p3 3150bm4 70a3 |
Quadratic twists by: -4 8 -3 5 |