Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304k |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20759688183808 = 216 · 73 · 314 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7315,99666] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1254:1] |
Generators of the group modulo torsion |
j |
30811485375/14776336 |
j-invariant |
L |
5.3497838690358 |
L(r)(E,1)/r! |
Ω |
0.60753391453117 |
Real period |
R |
4.4028684992542 |
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 |
3038c2 97216bi2 24304u2 |
Quadratic twists by: -4 8 -7 |