Atkin-Lehner |
3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675l |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
325125 = 32 · 53 · 172 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 -3 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-28,-42] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] [-2:1:1] |
Generators of the group modulo torsion |
j |
69632/9 |
j-invariant |
L |
3.4479529722786 |
L(r)(E,1)/r! |
Ω |
2.0869327733735 |
Real period |
R |
0.41304073330391 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025ci1 21675y1 21675bb1 |
Quadratic twists by: -3 5 17 |