Atkin-Lehner |
2+ 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230s |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
982080 = 26 · 32 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28,26] |
[a1,a2,a3,a4,a6] |
j |
2305199161/982080 |
j-invariant |
L |
2.5110615799719 |
L(r)(E,1)/r! |
Ω |
2.5110615799719 |
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 |
81840cf1 30690bg1 51150bl1 112530db1 |
Quadratic twists by: -4 -3 5 -11 |