Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956i |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-1197543517958020464 = -1 · 24 · 35 · 713 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,265466,-830423] |
[a1,a2,a3,a4,a6] |
Generators |
[9014:857157:1] |
Generators of the group modulo torsion |
j |
1099108512326912/636184496871 |
j-invariant |
L |
7.4477849983137 |
L(r)(E,1)/r! |
Ω |
0.1630576125481 |
Real period |
R |
1.9031578503347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999855631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15708j1 |
Quadratic twists by: -7 |