Atkin-Lehner |
2- 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430bg |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
778207500 = 22 · 36 · 54 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 0 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473,-3603] |
[a1,a2,a3,a4,a6] |
j |
16022066761/1067500 |
j-invariant |
L |
4.1127319162039 |
L(r)(E,1)/r! |
Ω |
1.0281829790588 |
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 |
4270b1 |
Quadratic twists by: -3 |