Atkin-Lehner |
2+ 3+ 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22134a |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
9.0238785358783E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1158559,146137093] |
[a1,a2,a3,a4,a6] |
Generators |
[-1808417:52095844:2197] |
Generators of the group modulo torsion |
j |
171980324349297856092793/90238785358783315968 |
j-invariant |
L |
3.6205808069195 |
L(r)(E,1)/r! |
Ω |
0.16759915562557 |
Real period |
R |
10.801309807933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66402bc1 |
Quadratic twists by: -3 |