Atkin-Lehner |
2- 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
73700a |
Isogeny class |
Conductor |
73700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13680 |
Modular degree for the optimal curve |
Δ |
-3242800 = -1 · 24 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-320,2205] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:66:1] [11:4:1] |
Generators of the group modulo torsion |
j |
-9059696640/8107 |
j-invariant |
L |
10.265376554313 |
L(r)(E,1)/r! |
Ω |
2.501930891864 |
Real period |
R |
2.0514908280641 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73700h1 |
Quadratic twists by: 5 |