Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848cg |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-53559759610368 = -1 · 29 · 310 · 116 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8349,-194326] |
[a1,a2,a3,a4,a6] |
Generators |
[154:2178:1] [346:6642:1] |
Generators of the group modulo torsion |
j |
97336/81 |
j-invariant |
L |
7.1310630138578 |
L(r)(E,1)/r! |
Ω |
0.34853040764014 |
Real period |
R |
5.1150938752666 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848ba2 69696co3 11616e4 288c4 |
Quadratic twists by: -4 8 -3 -11 |