Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810w |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
588349440 |
Modular degree for the optimal curve |
Δ |
4.1196884978065E+31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56354530995,-5139936727255179] |
[a1,a2,a3,a4,a6] |
Generators |
[-4678169737676493517638746017875:83971568411012814379629993314301:33442930393293091783203125] |
Generators of the group modulo torsion |
j |
27150804530604462383200555962588721/56511502027523451562500000000 |
j-invariant |
L |
3.4290217567448 |
L(r)(E,1)/r! |
Ω |
0.0097999001918077 |
Real period |
R |
43.737967857205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270ct1 |
Quadratic twists by: -3 |