Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bi |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
8018204118232089600 = 210 · 38 · 52 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2595840,1603134000] |
[a1,a2,a3,a4,a6] |
Generators |
[-780:56160:1] |
Generators of the group modulo torsion |
j |
16057186204796356/66556260225 |
j-invariant |
L |
9.1152832006525 |
L(r)(E,1)/r! |
Ω |
0.23461094986188 |
Real period |
R |
2.428297572472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000278 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920a2 |
Quadratic twists by: -7 |