Atkin-Lehner |
2- 3+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528y |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-62341594914816 = -1 · 213 · 311 · 7 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 3 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2840,-383376] |
[a1,a2,a3,a4,a6] |
Generators |
[100:568:1] |
Generators of the group modulo torsion |
j |
-618688004761/15220115946 |
j-invariant |
L |
7.4690909964449 |
L(r)(E,1)/r! |
Ω |
0.26951848900861 |
Real period |
R |
3.4640902688082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566i1 |
Quadratic twists by: -4 |