Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4095c |
Isogeny class |
Conductor |
4095 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
429975 = 33 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 2 13- -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-210,1225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:35:1] |
Generators of the group modulo torsion |
j |
38034753147/15925 |
j-invariant |
L |
4.2378126367649 |
L(r)(E,1)/r! |
Ω |
2.9307363822566 |
Real period |
R |
0.72299451128079 |
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 |
65520bv2 4095f2 20475b2 28665m2 |
Quadratic twists by: -4 -3 5 -7 |