Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38220d |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-140240990484045360 = -1 · 24 · 32 · 5 · 79 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79641,20013246] |
[a1,a2,a3,a4,a6] |
Generators |
[2154:33957:8] |
Generators of the group modulo torsion |
j |
-29677755744256/74501796915 |
j-invariant |
L |
4.0769720476106 |
L(r)(E,1)/r! |
Ω |
0.28923793208403 |
Real period |
R |
3.5238912287855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660bp3 5460g3 |
Quadratic twists by: -3 -7 |