Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84270q |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7248384 |
Modular degree for the optimal curve |
Δ |
8.001798119424E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5087264,-991611538] |
[a1,a2,a3,a4,a6] |
Generators |
[-720:48298:1] |
Generators of the group modulo torsion |
j |
97802241300184795037/53747712000000000 |
j-invariant |
L |
3.2278303823302 |
L(r)(E,1)/r! |
Ω |
0.10748790423817 |
Real period |
R |
3.7537135070915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84270bj1 |
Quadratic twists by: 53 |