Atkin-Lehner |
2- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13400o |
Isogeny class |
Conductor |
13400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
-10720000 = -1 · 28 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -2 0 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,-150] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] |
Generators of the group modulo torsion |
j |
10800/67 |
j-invariant |
L |
3.9689674218944 |
L(r)(E,1)/r! |
Ω |
1.1390830788364 |
Real period |
R |
0.29036274114065 |
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 |
26800n1 107200bh1 120600y1 13400c1 |
Quadratic twists by: -4 8 -3 5 |