Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103246t |
Isogeny class |
Conductor |
103246 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-3259728521550088874 = -1 · 2 · 112 · 133 · 1910 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 11- 13- 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-503061,-162542341] |
[a1,a2,a3,a4,a6] |
Generators |
[63175658:9549744217:2744] |
Generators of the group modulo torsion |
j |
-299270638153369/69288287354 |
j-invariant |
L |
10.080424829175 |
L(r)(E,1)/r! |
Ω |
0.088544271703412 |
Real period |
R |
9.487179526134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434g1 |
Quadratic twists by: -19 |