Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bo |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
608 |
Product of Tamagawa factors cp |
deg |
676601856 |
Modular degree for the optimal curve |
Δ |
-1.5044839685052E+33 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9627606926,1901260781618123] |
[a1,a2,a3,a4,a6] |
Generators |
[98321:43598839:1] |
Generators of the group modulo torsion |
j |
-54793398764598642332423/835289534693376000000 |
j-invariant |
L |
8.5473279100258 |
L(r)(E,1)/r! |
Ω |
0.012760613277743 |
Real period |
R |
4.4067177249481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999552673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111090ck1 |
Quadratic twists by: -23 |