Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150ct |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
2640 |
Product of Tamagawa factors cp |
deg |
3193344000 |
Modular degree for the optimal curve |
Δ |
1.9252241388884E+37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2432799188813,1445182582619329617] |
[a1,a2,a3,a4,a6] |
Generators |
[6589912:16476783169:1] |
Generators of the group modulo torsion |
j |
101911330862444537650467942170606186761/1232143448888598218129390625000000 |
j-invariant |
L |
12.569501775121 |
L(r)(E,1)/r! |
Ω |
0.0068885566379082 |
Real period |
R |
2.7646865148859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430g1 |
Quadratic twists by: 5 |