Atkin-Lehner |
3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
62001f |
Isogeny class |
Conductor |
62001 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-911613165201 = -1 · 313 · 833 |
Discriminant |
Eigenvalues |
-1 3- -3 -2 -1 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1696,-37668] |
[a1,a2,a3,a4,a6] |
Generators |
[21:72:1] [32:204:1] |
Generators of the group modulo torsion |
j |
1295029/2187 |
j-invariant |
L |
5.0956284560945 |
L(r)(E,1)/r! |
Ω |
0.46541479516229 |
Real period |
R |
2.7371435701368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20667a1 62001e1 |
Quadratic twists by: -3 -83 |