Atkin-Lehner |
2- 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38478i |
Isogeny class |
Conductor |
38478 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-405111839227392 = -1 · 29 · 3 · 116 · 533 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 11- 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5382,-955932] |
[a1,a2,a3,a4,a6] |
j |
9731810375/228675072 |
j-invariant |
L |
2.3223482022724 |
L(r)(E,1)/r! |
Ω |
0.25803868914497 |
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 |
115434u2 318b2 |
Quadratic twists by: -3 -11 |