Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
13320j |
Isogeny class |
Conductor |
13320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-23304672000 = -1 · 28 · 39 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 3 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1188,-17388] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1458:1] |
Generators of the group modulo torsion |
j |
-36799488/4625 |
j-invariant |
L |
4.3358365289192 |
L(r)(E,1)/r! |
Ω |
0.40376038468082 |
Real period |
R |
2.6846594499029 |
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 |
26640b1 106560n1 13320b1 66600a1 |
Quadratic twists by: -4 8 -3 5 |