Atkin-Lehner |
3- 5- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109395bf |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
212992 |
Modular degree for the optimal curve |
Δ |
-75186650199375 = -1 · 37 · 54 · 114 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6962,-471576] |
[a1,a2,a3,a4,a6] |
Generators |
[119:552:1] |
Generators of the group modulo torsion |
j |
-51184652297689/103136694375 |
j-invariant |
L |
4.6844946755799 |
L(r)(E,1)/r! |
Ω |
0.24548349125989 |
Real period |
R |
2.3853410095475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999244893 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36465b1 |
Quadratic twists by: -3 |