Atkin-Lehner |
2+ 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41952d |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-370520064 = -1 · 212 · 32 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 5 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-461,-3771] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-276:1] |
Generators of the group modulo torsion |
j |
-2650991104/90459 |
j-invariant |
L |
3.7961859071915 |
L(r)(E,1)/r! |
Ω |
0.51403808486691 |
Real period |
R |
0.92312856258929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41952g1 83904bm1 125856bg1 |
Quadratic twists by: -4 8 -3 |