Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810db |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
Δ |
1.1125818014176E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3714233,-2707121959] |
[a1,a2,a3,a4,a6] |
Generators |
[-1209:4492:1] [-1157:6936:1] |
Generators of the group modulo torsion |
j |
7773265598236356584521/152617531058657280 |
j-invariant |
L |
16.334172668267 |
L(r)(E,1)/r! |
Ω |
0.10888056467437 |
Real period |
R |
1.1365089144826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bl2 |
Quadratic twists by: -3 |