Atkin-Lehner |
2- 3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98532q |
Isogeny class |
Conductor |
98532 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-98473873608432 = -1 · 24 · 36 · 74 · 172 · 233 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6249,-513907] |
[a1,a2,a3,a4,a6] |
Generators |
[404:7931:1] |
Generators of the group modulo torsion |
j |
-2313703881472/8442547463 |
j-invariant |
L |
9.2000947274068 |
L(r)(E,1)/r! |
Ω |
0.24603393783338 |
Real period |
R |
4.6742000272254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10948b1 |
Quadratic twists by: -3 |