Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200dw |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
127733760 |
Modular degree for the optimal curve |
Δ |
-2.6703948884517E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2179330125,68176498328750] |
[a1,a2,a3,a4,a6] |
j |
16683494528422270/38919722282469 |
j-invariant |
L |
1.9243176246081 |
L(r)(E,1)/r! |
Ω |
0.017817755943364 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400di1 88200gm1 12600bc1 |
Quadratic twists by: -3 5 -7 |