Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cc |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
74027520 |
Modular degree for the optimal curve |
Δ |
-2.1345303013567E+28 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,472601838,-5811361397852] |
[a1,a2,a3,a4,a6] |
Generators |
[524444:379850892:1] |
Generators of the group modulo torsion |
j |
49218965184023/89996344704 |
j-invariant |
L |
7.9493776015407 |
L(r)(E,1)/r! |
Ω |
0.020041201920552 |
Real period |
R |
6.6108623251139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138c1 84966bi1 |
Quadratic twists by: -7 17 |