Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672co |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
482249176634368 = 210 · 118 · 133 |
Discriminant |
Eigenvalues |
2- 1 0 4 11- 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35493,2335067] |
[a1,a2,a3,a4,a6] |
Generators |
[3621:1936:27] |
Generators of the group modulo torsion |
j |
22528000/2197 |
j-invariant |
L |
9.8633830678981 |
L(r)(E,1)/r! |
Ω |
0.51014401396476 |
Real period |
R |
3.2224178545594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672p1 25168bn1 100672dn1 |
Quadratic twists by: -4 8 -11 |