Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2130o |
Isogeny class |
Conductor |
2130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-2300400 = -1 · 24 · 34 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,25,57] |
[a1,a2,a3,a4,a6] |
j |
1723683599/2300400 |
j-invariant |
L |
3.4917555521848 |
L(r)(E,1)/r! |
Ω |
1.7458777760924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17040q1 68160d1 6390i1 10650c1 |
Quadratic twists by: -4 8 -3 5 |