Atkin-Lehner |
2+ 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104g |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-7897903792128 = -1 · 222 · 38 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6529,246145] |
[a1,a2,a3,a4,a6] |
Generators |
[3:476:1] [33:256:1] |
Generators of the group modulo torsion |
j |
-117433042273/30128112 |
j-invariant |
L |
7.2647744427889 |
L(r)(E,1)/r! |
Ω |
0.70342883224205 |
Real period |
R |
5.1638304472333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55104dj1 1722o1 |
Quadratic twists by: -4 8 |