Atkin-Lehner |
2- 3+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11310i |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
395069604635949750 = 2 · 35 · 53 · 13 · 298 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4226735,3342790415] |
[a1,a2,a3,a4,a6] |
j |
8351005675201800382877041/395069604635949750 |
j-invariant |
L |
1.6958880840401 |
L(r)(E,1)/r! |
Ω |
0.28264801400668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480ca4 33930l4 56550t4 |
Quadratic twists by: -4 -3 5 |