Atkin-Lehner |
2+ 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113088g |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
-10517184 = -1 · 26 · 32 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -1 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49,-69] |
[a1,a2,a3,a4,a6] |
Generators |
[10:39:1] [42:279:1] |
Generators of the group modulo torsion |
j |
199176704/164331 |
j-invariant |
L |
11.846997612088 |
L(r)(E,1)/r! |
Ω |
1.263373347785 |
Real period |
R |
2.3443184145211 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113088e1 56544g1 |
Quadratic twists by: -4 8 |