Atkin-Lehner |
2- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38480k |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
3703552852480000 = 212 · 54 · 134 · 373 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 1 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88421,-9657779] |
[a1,a2,a3,a4,a6] |
j |
18665298626719744/904187708125 |
j-invariant |
L |
1.110767504717 |
L(r)(E,1)/r! |
Ω |
0.27769187618681 |
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 |
2405a1 |
Quadratic twists by: -4 |