Atkin-Lehner |
2+ 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30550b |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-136478989836800 = -1 · 29 · 52 · 136 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -3 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3655,-569995] |
[a1,a2,a3,a4,a6] |
Generators |
[862:3963:8] [221:2968:1] |
Generators of the group modulo torsion |
j |
-216088419746785/5459159593472 |
j-invariant |
L |
4.8168591760704 |
L(r)(E,1)/r! |
Ω |
0.25261355519872 |
Real period |
R |
4.7670236582145 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30550z1 |
Quadratic twists by: 5 |