Atkin-Lehner |
2- 3+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624n |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-438985991135232 = -1 · 213 · 34 · 174 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76992,-8258688] |
[a1,a2,a3,a4,a6] |
Generators |
[37119594:-1421650890:24389] |
Generators of the group modulo torsion |
j |
-12322709457584833/107174314242 |
j-invariant |
L |
7.0873425157884 |
L(r)(E,1)/r! |
Ω |
0.14322944025703 |
Real period |
R |
12.370610577491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078i2 |
Quadratic twists by: -4 |