Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430z |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-11860629379200 = -1 · 27 · 311 · 52 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4149,-193995] |
[a1,a2,a3,a4,a6] |
Generators |
[141:-1488:1] |
Generators of the group modulo torsion |
j |
-10836408452689/16269724800 |
j-invariant |
L |
4.3386428708072 |
L(r)(E,1)/r! |
Ω |
0.28233883905341 |
Real period |
R |
0.6402830970395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12810u1 |
Quadratic twists by: -3 |