Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696dq |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7.7405435256356E+22 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8013588,10145946800] |
[a1,a2,a3,a4,a6] |
Generators |
[2200:196020:1] |
Generators of the group modulo torsion |
j |
168105213359/228637728 |
j-invariant |
L |
5.0266133862517 |
L(r)(E,1)/r! |
Ω |
0.073338822163402 |
Real period |
R |
4.2837248724888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000647 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696hc2 2178m2 23232ba2 6336bg2 |
Quadratic twists by: -4 8 -3 -11 |