Atkin-Lehner |
2+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4862c |
Isogeny class |
Conductor |
4862 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-754628826325811008 = -1 · 26 · 1112 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 11+ 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-622991,-193876734] |
[a1,a2,a3,a4,a6] |
Generators |
[73780:1557083:64] |
Generators of the group modulo torsion |
j |
-26740407923656692603625/754628826325811008 |
j-invariant |
L |
1.4828441881651 |
L(r)(E,1)/r! |
Ω |
0.084825539816531 |
Real period |
R |
8.7405526175982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38896m4 43758w4 121550be4 53482l4 |
Quadratic twists by: -4 -3 5 -11 |