Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834i |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
1.0646423229933E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-550794,10288260] |
[a1,a2,a3,a4,a6] |
Generators |
[-84405:21873930:4913] |
Generators of the group modulo torsion |
j |
10431251950649473/6009628361616 |
j-invariant |
L |
3.3070226698713 |
L(r)(E,1)/r! |
Ω |
0.19425738467311 |
Real period |
R |
4.2559806354737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502bt1 3894l1 |
Quadratic twists by: -3 -11 |