Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696dd |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-2.2584051085115E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2283996,-1512590992] |
[a1,a2,a3,a4,a6] |
Generators |
[166411203877030125812:2466561063635689643712:88908230009934161] |
Generators of the group modulo torsion |
j |
-4253392/729 |
j-invariant |
L |
7.8238882661392 |
L(r)(E,1)/r! |
Ω |
0.060834196532524 |
Real period |
R |
32.152509246819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696gr1 4356j1 23232z1 69696da1 |
Quadratic twists by: -4 8 -3 -11 |