Atkin-Lehner |
2- 3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87906bi |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
1000 |
Product of Tamagawa factors cp |
deg |
105408000 |
Modular degree for the optimal curve |
Δ |
-2.330750222381E+26 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -1 13- 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2810236500,57344157984021] |
[a1,a2,a3,a4,a6] |
Generators |
[-14083:9708993:1] |
Generators of the group modulo torsion |
j |
-50090601023452347215097477266449/4756633106900020145160192 |
j-invariant |
L |
5.1689693653789 |
L(r)(E,1)/r! |
Ω |
0.053362742788451 |
Real period |
R |
0.09686476182006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87906bk1 |
Quadratic twists by: -7 |