Atkin-Lehner |
2+ 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010j |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2663424 |
Modular degree for the optimal curve |
Δ |
-2015843519692800 = -1 · 217 · 32 · 52 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -1 0 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2736577,-1743589259] |
[a1,a2,a3,a4,a6] |
j |
-19264544181973060489/17134387200 |
j-invariant |
L |
0.93904728562846 |
L(r)(E,1)/r! |
Ω |
0.058690471301507 |
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 |
17430n1 |
Quadratic twists by: -7 |