Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800g |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-43120000000 = -1 · 210 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11- -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,9988] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-100:1] [-8:98:1] |
Generators of the group modulo torsion |
j |
-4/2695 |
j-invariant |
L |
5.8761239066028 |
L(r)(E,1)/r! |
Ω |
0.90808202781476 |
Real period |
R |
0.8088646904432 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15400r1 123200ee1 6160e1 |
Quadratic twists by: -4 8 5 |