Atkin-Lehner |
2+ 3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650o |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40704 |
Modular degree for the optimal curve |
Δ |
-270126450 = -1 · 2 · 32 · 52 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- 5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-275,1815] |
[a1,a2,a3,a4,a6] |
Generators |
[11:11:1] |
Generators of the group modulo torsion |
j |
-92522430625/10805058 |
j-invariant |
L |
2.652323541879 |
L(r)(E,1)/r! |
Ω |
1.6928132441531 |
Real period |
R |
0.19585175382888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650cz1 |
Quadratic twists by: 5 |