Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488a |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-204266962044321792 = -1 · 230 · 3 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18300193,-30126162527] |
[a1,a2,a3,a4,a6] |
Generators |
[3563788965:149248759808:614125] |
Generators of the group modulo torsion |
j |
-448504189023625/135168 |
j-invariant |
L |
6.0207203812506 |
L(r)(E,1)/r! |
Ω |
0.036496870930325 |
Real period |
R |
13.747115436163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488hd2 3234j2 103488cv2 |
Quadratic twists by: -4 8 -7 |