Atkin-Lehner |
3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bg |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2851039800984375 = -1 · 312 · 56 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,462,-2568933] |
[a1,a2,a3,a4,a6] |
Generators |
[246:3405:1] |
Generators of the group modulo torsion |
j |
697864103/182466547263 |
j-invariant |
L |
5.1318692892783 |
L(r)(E,1)/r! |
Ω |
0.20804955343421 |
Real period |
R |
2.0555476670364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3003e4 |
Quadratic twists by: 5 |