Atkin-Lehner |
2- 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370n |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1193472 |
Modular degree for the optimal curve |
Δ |
17007602139411130 = 2 · 5 · 1312 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -1 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-406871,-99864861] |
[a1,a2,a3,a4,a6] |
j |
1543241430303481/3523570570 |
j-invariant |
L |
3.4030422204685 |
L(r)(E,1)/r! |
Ω |
0.18905795102758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9490b1 |
Quadratic twists by: 13 |