Atkin-Lehner |
3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
29547q |
Isogeny class |
Conductor |
29547 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
96578570108349 = 36 · 711 · 67 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 0 1 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35069,-2474328] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:72:1] |
Generators of the group modulo torsion |
j |
55611739513/1126069 |
j-invariant |
L |
1.7490892296544 |
L(r)(E,1)/r! |
Ω |
0.34930452251646 |
Real period |
R |
2.5036738961375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3283a1 4221b1 |
Quadratic twists by: -3 -7 |