Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
406b |
Isogeny class |
Conductor |
406 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-13974818816 = -1 · 212 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- -3 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,130,-5648] |
[a1,a2,a3,a4,a6] |
Generators |
[37:205:1] |
Generators of the group modulo torsion |
j |
245667233447/13974818816 |
j-invariant |
L |
1.4272791043686 |
L(r)(E,1)/r! |
Ω |
0.59905695080844 |
Real period |
R |
0.19854527220416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3248k2 12992o2 3654u2 10150i2 |
Quadratic twists by: -4 8 -3 5 |