Atkin-Lehner |
2+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
1030b |
Isogeny class |
Conductor |
1030 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
420 |
Modular degree for the optimal curve |
Δ |
-257500000 = -1 · 25 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -3 -5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80,-800] |
[a1,a2,a3,a4,a6] |
j |
-57022169049/257500000 |
j-invariant |
L |
0.72374619693806 |
L(r)(E,1)/r! |
Ω |
0.72374619693806 |
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 |
8240g1 32960i1 9270y1 5150k1 |
Quadratic twists by: -4 8 -3 5 |