Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1722d |
Isogeny class |
Conductor |
1722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-672475186714464 = -1 · 25 · 321 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 4 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63598,6271636] |
[a1,a2,a3,a4,a6] |
j |
-28448852731909216489/672475186714464 |
j-invariant |
L |
1.0196347731619 |
L(r)(E,1)/r! |
Ω |
0.50981738658097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13776n1 55104bh1 5166bh1 43050bt1 |
Quadratic twists by: -4 8 -3 5 |