Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450bh |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
1023120000000 = 210 · 32 · 57 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2901,-35552] |
[a1,a2,a3,a4,a6] |
j |
172715635009/65479680 |
j-invariant |
L |
2.6863900380397 |
L(r)(E,1)/r! |
Ω |
0.67159750950897 |
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 |
91350en1 6090r1 |
Quadratic twists by: -3 5 |