Atkin-Lehner |
3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
29547m |
Isogeny class |
Conductor |
29547 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-23496155054001 = -1 · 313 · 72 · 673 |
Discriminant |
Eigenvalues |
1 3- 1 7- -4 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1566,231601] |
[a1,a2,a3,a4,a6] |
Generators |
[-410:1177:8] |
Generators of the group modulo torsion |
j |
11885552399/657768681 |
j-invariant |
L |
6.0961711259448 |
L(r)(E,1)/r! |
Ω |
0.51348102893252 |
Real period |
R |
2.9680605428686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9849f1 29547g1 |
Quadratic twists by: -3 -7 |