Atkin-Lehner |
2- 3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370da |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
6695507368166400 = 210 · 32 · 52 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-259995,50766057] |
[a1,a2,a3,a4,a6] |
Generators |
[97:5096:1] |
Generators of the group modulo torsion |
j |
16520780636484769/56910873600 |
j-invariant |
L |
8.4048908856706 |
L(r)(E,1)/r! |
Ω |
0.42326610608746 |
Real period |
R |
0.99286132033719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842843 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14910bh2 |
Quadratic twists by: -7 |