Atkin-Lehner |
2- 3+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
34710bb |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-10931150880 = -1 · 25 · 310 · 5 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 2 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1085,14195] |
[a1,a2,a3,a4,a6] |
Generators |
[45:220:1] |
Generators of the group modulo torsion |
j |
-141266096047441/10931150880 |
j-invariant |
L |
6.9923482374847 |
L(r)(E,1)/r! |
Ω |
1.2550207379451 |
Real period |
R |
0.55715001561917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104130p1 |
Quadratic twists by: -3 |