Atkin-Lehner |
3- 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725cg |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
1915200 |
Modular degree for the optimal curve |
Δ |
-1140159440823046875 = -1 · 37 · 58 · 72 · 11 · 195 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1139138,470680767] |
[a1,a2,a3,a4,a6] |
Generators |
[-1098:20499:1] [2227:93649:1] |
Generators of the group modulo torsion |
j |
-418497357298522945/2918808168507 |
j-invariant |
L |
8.5973955673898 |
L(r)(E,1)/r! |
Ω |
0.27615519079389 |
Real period |
R |
0.14824989802181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109725r1 |
Quadratic twists by: 5 |