Atkin-Lehner |
2+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
52094a |
Isogeny class |
Conductor |
52094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1249920 |
Modular degree for the optimal curve |
Δ |
1.6564376725794E+20 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ -1 -4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1484756,317934736] |
[a1,a2,a3,a4,a6] |
Generators |
[1184:14292:1] |
Generators of the group modulo torsion |
j |
7026036894577/3215111872 |
j-invariant |
L |
1.5141191430591 |
L(r)(E,1)/r! |
Ω |
0.16252957265982 |
Real period |
R |
1.1644951117565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
854d1 |
Quadratic twists by: 61 |