Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730f |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
41984670 = 2 · 3 · 5 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7843,264103] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-22:1] |
Generators of the group modulo torsion |
j |
53365044437418169/41984670 |
j-invariant |
L |
1.9653967873427 |
L(r)(E,1)/r! |
Ω |
1.6925745010064 |
Real period |
R |
0.58059387819386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840bu4 87360dn4 8190by3 13650cm4 |
Quadratic twists by: -4 8 -3 5 |