Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086j |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-192624505377170076 = -1 · 22 · 36 · 74 · 317 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -6 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-276948,60009660] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:8676:1] |
Generators of the group modulo torsion |
j |
-3630961153/297724 |
j-invariant |
L |
1.5400482492223 |
L(r)(E,1)/r! |
Ω |
0.31209996285068 |
Real period |
R |
0.61680886651184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000354715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13454e1 3906c1 |
Quadratic twists by: -3 -31 |