Atkin-Lehner |
2+ 5- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
105040h |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
389120 |
Modular degree for the optimal curve |
Δ |
86198450000 = 24 · 55 · 132 · 1012 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-176075,-28379098] |
[a1,a2,a3,a4,a6] |
Generators |
[494290:2260683:1000] |
Generators of the group modulo torsion |
j |
37731084407789357056/5387403125 |
j-invariant |
L |
10.370339019121 |
L(r)(E,1)/r! |
Ω |
0.233063856583 |
Real period |
R |
8.8991396208112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52520g1 |
Quadratic twists by: -4 |