Atkin-Lehner |
2+ 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
30246a |
Isogeny class |
Conductor |
30246 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-6789470817758247936 = -1 · 210 · 36 · 717 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1444351,-680386235] |
[a1,a2,a3,a4,a6] |
j |
-2601311308777/53001216 |
j-invariant |
L |
0.27509780313843 |
L(r)(E,1)/r! |
Ω |
0.068774450784521 |
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 |
90738ba1 426b1 |
Quadratic twists by: -3 -71 |