Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696cr |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
51845847302836224 = 212 · 310 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-149556,19379360] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:4536:1] |
Generators of the group modulo torsion |
j |
69934528/9801 |
j-invariant |
L |
4.2363411019256 |
L(r)(E,1)/r! |
Ω |
0.34153870092672 |
Real period |
R |
3.1009231823999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000859 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69696cq2 34848bz1 23232n2 6336p2 |
Quadratic twists by: -4 8 -3 -11 |