Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488in |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8396456656896 = 216 · 32 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6337,133055] |
[a1,a2,a3,a4,a6] |
Generators |
[2711:141120:1] |
Generators of the group modulo torsion |
j |
3650692/1089 |
j-invariant |
L |
10.063267569321 |
L(r)(E,1)/r! |
Ω |
0.68258210713971 |
Real period |
R |
3.6857351893825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000016 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103488r2 25872d2 2112w2 |
Quadratic twists by: -4 8 -7 |