Atkin-Lehner |
2- 3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090dr |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
1.6180993196879E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21722612,-38958485929] |
[a1,a2,a3,a4,a6] |
j |
1555006827939811751684089/221961497899581440 |
j-invariant |
L |
5.8742786818653 |
L(r)(E,1)/r! |
Ω |
0.069931889839426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010f1 |
Quadratic twists by: -3 |