Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088v |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-31421379369328 = -1 · 24 · 133 · 197 |
Discriminant |
Eigenvalues |
2- -2 0 -2 0 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-692518,-222048105] |
[a1,a2,a3,a4,a6] |
Generators |
[5386328445:260281662435:2048383] |
Generators of the group modulo torsion |
j |
-48795070432000/41743 |
j-invariant |
L |
2.4471176407904 |
L(r)(E,1)/r! |
Ω |
0.082748802564332 |
Real period |
R |
14.786423278824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18772c2 3952i2 |
Quadratic twists by: -4 -19 |