Atkin-Lehner |
2+ 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
41496j |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2229260884800768 = 28 · 318 · 7 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113316,14543028] |
[a1,a2,a3,a4,a6] |
Generators |
[26930:36084:125] |
Generators of the group modulo torsion |
j |
628581053646197584/8708050331253 |
j-invariant |
L |
6.983106903037 |
L(r)(E,1)/r! |
Ω |
0.46325426161606 |
Real period |
R |
7.537013128248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992m2 124488bu2 |
Quadratic twists by: -4 -3 |