Atkin-Lehner |
2+ 7- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113386i |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-114653241394328 = -1 · 23 · 77 · 133 · 892 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 3 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9823,354316] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:579:1] |
Generators of the group modulo torsion |
j |
891110287367/974536472 |
j-invariant |
L |
3.98520907843 |
L(r)(E,1)/r! |
Ω |
0.39270076106789 |
Real period |
R |
0.84568401861718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999639241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16198b1 |
Quadratic twists by: -7 |