Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912bk |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-174255413133312 = -1 · 234 · 32 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8063,-573407] |
[a1,a2,a3,a4,a6] |
Generators |
[151:2016:1] |
Generators of the group modulo torsion |
j |
221115865823/664731648 |
j-invariant |
L |
4.829400749501 |
L(r)(E,1)/r! |
Ω |
0.29262139638799 |
Real period |
R |
4.1259805409937 |
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 |
30912y1 7728r1 92736dz1 |
Quadratic twists by: -4 8 -3 |