Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880r |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
58240 |
Modular degree for the optimal curve |
Δ |
-2617401600000 = -1 · 211 · 37 · 55 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1040,77108] |
[a1,a2,a3,a4,a6] |
Generators |
[86:-900:1] |
Generators of the group modulo torsion |
j |
60684268318/1278028125 |
j-invariant |
L |
7.2964342875707 |
L(r)(E,1)/r! |
Ω |
0.60618144986708 |
Real period |
R |
0.085976546758018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22440s1 |
Quadratic twists by: -4 |