Atkin-Lehner |
3- 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395i |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2037504 |
Modular degree for the optimal curve |
Δ |
-66894004956796875 = -1 · 37 · 57 · 116 · 13 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 11+ 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-965793,365532498] |
[a1,a2,a3,a4,a6] |
Generators |
[579:665:1] |
Generators of the group modulo torsion |
j |
-136662179884226523136/91761323671875 |
j-invariant |
L |
2.3927794357342 |
L(r)(E,1)/r! |
Ω |
0.34451458286172 |
Real period |
R |
1.7363412125957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999839025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36465s1 |
Quadratic twists by: -3 |