Atkin-Lehner |
3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
35145j |
Isogeny class |
Conductor |
35145 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-9245359502775 = -1 · 316 · 52 · 112 · 71 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11+ -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2034,-149985] |
[a1,a2,a3,a4,a6] |
Generators |
[114:987:1] |
Generators of the group modulo torsion |
j |
-1276935990049/12682248975 |
j-invariant |
L |
4.8554286182421 |
L(r)(E,1)/r! |
Ω |
0.30943599445629 |
Real period |
R |
3.9228052854461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715g1 |
Quadratic twists by: -3 |