Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675c |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
152745553828125 = 34 · 57 · 176 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15606150,-23736178125] |
[a1,a2,a3,a4,a6] |
Generators |
[-11409893454646466052175330:5712772087479738036262007:5001728761440947717000] |
Generators of the group modulo torsion |
j |
1114544804970241/405 |
j-invariant |
L |
5.5245632085881 |
L(r)(E,1)/r! |
Ω |
0.075958364798854 |
Real period |
R |
36.365732880228 |
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 |
65025bn8 4335d7 75b7 |
Quadratic twists by: -3 5 17 |