Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574bh |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-27679071063254688 = -1 · 25 · 311 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-284177,-58878844] |
[a1,a2,a3,a4,a6] |
j |
-178284948703873/1944365472 |
j-invariant |
L |
2.2730707312568 |
L(r)(E,1)/r! |
Ω |
0.10332139687591 |
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 |
106722gx1 5082b1 35574df1 |
Quadratic twists by: -3 -7 -11 |