Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848bb |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
19442192738563584 = 29 · 311 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-341545611,2429523906370] |
[a1,a2,a3,a4,a6] |
Generators |
[5009150846029308:-3888298410205:469459763648] |
Generators of the group modulo torsion |
j |
6663712298552914184/29403 |
j-invariant |
L |
3.5297288556827 |
L(r)(E,1)/r! |
Ω |
0.18475075198859 |
Real period |
R |
19.105355825023 |
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 |
34848cf4 69696cn4 11616bb2 3168z2 |
Quadratic twists by: -4 8 -3 -11 |