Atkin-Lehner |
2+ 3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23478p |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
5.3311102044377E+26 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-312109773,-1808382606008] |
[a1,a2,a3,a4,a6] |
Generators |
[-12829:296718:1] |
Generators of the group modulo torsion |
j |
3362372411233003449623041258441/533111020443769715920207872 |
j-invariant |
L |
3.7260586611288 |
L(r)(E,1)/r! |
Ω |
0.036303241572915 |
Real period |
R |
2.8510299629282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70434bi2 |
Quadratic twists by: -3 |