Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520b |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
319410000 = 24 · 33 · 54 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1158,15143] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:156:1] [23:26:1] |
Generators of the group modulo torsion |
j |
397526095872/739375 |
j-invariant |
L |
9.4697234829357 |
L(r)(E,1)/r! |
Ω |
1.7187144944827 |
Real period |
R |
2.754885559335 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760e1 65520h1 |
Quadratic twists by: -4 -3 |