Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696ef |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.1185084228348E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4508460,-3552875568] |
[a1,a2,a3,a4,a6] |
Generators |
[102567234:10579419136:9261] |
Generators of the group modulo torsion |
j |
1108717875/45056 |
j-invariant |
L |
6.9379994222479 |
L(r)(E,1)/r! |
Ω |
0.10386752258944 |
Real period |
R |
8.3495774825564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696l3 17424bd3 69696ee1 6336bp3 |
Quadratic twists by: -4 8 -3 -11 |