Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600i |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-221854200750000 = -1 · 24 · 37 · 56 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12917,-445088] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1729:1] |
Generators of the group modulo torsion |
j |
953312000000/887416803 |
j-invariant |
L |
5.3964195903176 |
L(r)(E,1)/r! |
Ω |
0.30637575440885 |
Real period |
R |
2.2017161576358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200bp1 2184k1 |
Quadratic twists by: -4 5 |