Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
119520i |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-181521000000000000 = -1 · 212 · 37 · 512 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175548,-34952128] |
[a1,a2,a3,a4,a6] |
Generators |
[1317761417120432052916:13141044905000965028901:2430599637559336768] |
Generators of the group modulo torsion |
j |
-200365937932096/60791015625 |
j-invariant |
L |
7.76342499503 |
L(r)(E,1)/r! |
Ω |
0.11482971776244 |
Real period |
R |
33.804075914915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520g2 39840i2 |
Quadratic twists by: -4 -3 |