Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912bj |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-95721357312 = -1 · 220 · 34 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1119,3393] |
[a1,a2,a3,a4,a6] |
j |
590589719/365148 |
j-invariant |
L |
2.639357747677 |
L(r)(E,1)/r! |
Ω |
0.6598394369192 |
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 |
30912be1 7728q1 92736et1 |
Quadratic twists by: -4 8 -3 |