Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760bd |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-73240285536000000 = -1 · 211 · 39 · 56 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,104517,627318] |
[a1,a2,a3,a4,a6] |
Generators |
[314410:8035489:1000] |
Generators of the group modulo torsion |
j |
3132299446794/1816890625 |
j-invariant |
L |
8.0459675963468 |
L(r)(E,1)/r! |
Ω |
0.2075119193115 |
Real period |
R |
9.6933800049774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122760e2 |
Quadratic twists by: -3 |