Atkin-Lehner |
29+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
74849a |
Isogeny class |
Conductor |
74849 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
52939275569 = 296 · 89 |
Discriminant |
Eigenvalues |
-1 -2 -2 2 4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1279,13584] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:174:1] |
Generators of the group modulo torsion |
j |
389017/89 |
j-invariant |
L |
2.0110478372325 |
L(r)(E,1)/r! |
Ω |
1.0564615050167 |
Real period |
R |
3.8071388796923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89b2 |
Quadratic twists by: 29 |