Atkin-Lehner |
2+ 3- 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346be |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10286891064673344 = 26 · 314 · 112 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-363708,84376080] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:12996:1] |
Generators of the group modulo torsion |
j |
7298866441011690433/14110961679936 |
j-invariant |
L |
4.9893688018308 |
L(r)(E,1)/r! |
Ω |
0.40706835774369 |
Real period |
R |
3.0642081992755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007968 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34782ba2 |
Quadratic twists by: -3 |