Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bs |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
309262078125 = 32 · 56 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-92488,10818467] |
[a1,a2,a3,a4,a6] |
Generators |
[182:59:1] |
Generators of the group modulo torsion |
j |
5599640476399033/19792773 |
j-invariant |
L |
4.863785282818 |
L(r)(E,1)/r! |
Ω |
0.84792164273734 |
Real period |
R |
1.4340314710153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3003a4 |
Quadratic twists by: 5 |