Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176l |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
662400 |
Modular degree for the optimal curve |
Δ |
-116917674536650752 = -1 · 211 · 36 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 4 4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36501,16230778] |
[a1,a2,a3,a4,a6] |
Generators |
[1587:116380:27] |
Generators of the group modulo torsion |
j |
46 |
j-invariant |
L |
8.4426469672259 |
L(r)(E,1)/r! |
Ω |
0.24853366386846 |
Real period |
R |
2.8308193875357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38088v1 8464f1 76176t1 |
Quadratic twists by: -4 -3 -23 |