Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656bc |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
39924636021860352 = 211 · 3 · 77 · 534 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89784,3818100] |
[a1,a2,a3,a4,a6] |
Generators |
[842:22932:1] |
Generators of the group modulo torsion |
j |
332205796946/165700101 |
j-invariant |
L |
8.2660174978785 |
L(r)(E,1)/r! |
Ω |
0.32173203263928 |
Real period |
R |
3.2115303354805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62328f3 17808b3 |
Quadratic twists by: -4 -7 |