Atkin-Lehner |
2+ 3+ 7+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41118a |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4212000 |
Modular degree for the optimal curve |
Δ |
-8.3889453430267E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ -7 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-977265,4421936853] |
[a1,a2,a3,a4,a6] |
Generators |
[5573999684:927792947031:14526784] |
Generators of the group modulo torsion |
j |
-103219426529054791593625/8388945343026728460288 |
j-invariant |
L |
2.0314625386502 |
L(r)(E,1)/r! |
Ω |
0.10775055552534 |
Real period |
R |
18.853383434949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123354bu1 |
Quadratic twists by: -3 |