Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640bl |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-21811507200 = -1 · 212 · 33 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-341,-7395] |
[a1,a2,a3,a4,a6] |
Generators |
[28:65:1] |
Generators of the group modulo torsion |
j |
-1073741824/5325075 |
j-invariant |
L |
2.9427570348211 |
L(r)(E,1)/r! |
Ω |
0.50157808337682 |
Real period |
R |
2.9334984246181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2415d1 115920ec1 |
Quadratic twists by: -4 -3 |