Atkin-Lehner |
2+ 5- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
116560g |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-7459840 = -1 · 210 · 5 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- 5 -2 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240,-1360] |
[a1,a2,a3,a4,a6] |
Generators |
[1201093:7858968:24389] |
Generators of the group modulo torsion |
j |
-1499221444/7285 |
j-invariant |
L |
13.082921939602 |
L(r)(E,1)/r! |
Ω |
0.60609377712822 |
Real period |
R |
10.792819871823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58280g1 |
Quadratic twists by: -4 |