Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730n |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3914078300576808000 = 26 · 3 · 53 · 7 · 1312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-996559,370812482] |
[a1,a2,a3,a4,a6] |
j |
109454124781830273937129/3914078300576808000 |
j-invariant |
L |
1.47667947613 |
L(r)(E,1)/r! |
Ω |
0.24611324602167 |
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 |
21840bd8 87360bh8 8190bv7 13650bq8 |
Quadratic twists by: -4 8 -3 5 |