Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675b |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1828828125 = 34 · 57 · 172 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 -5 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1133,14918] |
[a1,a2,a3,a4,a6] |
Generators |
[2:112:1] |
Generators of the group modulo torsion |
j |
35651584/405 |
j-invariant |
L |
3.2336641339163 |
L(r)(E,1)/r! |
Ω |
1.4909137145611 |
Real period |
R |
0.27111429239118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025bh1 4335f1 21675s1 |
Quadratic twists by: -3 5 17 |