Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950bb |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4183570314275625000 = 23 · 314 · 57 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2416167,1442818741] |
[a1,a2,a3,a4,a6] |
Generators |
[143:33098:1] |
Generators of the group modulo torsion |
j |
136948444639063849/367281893160 |
j-invariant |
L |
3.6414308554883 |
L(r)(E,1)/r! |
Ω |
0.24724788654776 |
Real period |
R |
0.92049089537527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bv3 8190br3 |
Quadratic twists by: -3 5 |