Atkin-Lehner |
3+ 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
67575f |
Isogeny class |
Conductor |
67575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1374670833984375 = -1 · 3 · 59 · 174 · 532 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 0 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37888,-3368344] |
[a1,a2,a3,a4,a6] |
Generators |
[259:1938:1] [454:8332:1] |
Generators of the group modulo torsion |
j |
-3079636311149/703831467 |
j-invariant |
L |
5.5380279000925 |
L(r)(E,1)/r! |
Ω |
0.16904437552717 |
Real period |
R |
8.1901984061633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67575k2 |
Quadratic twists by: 5 |