Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680bc |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.3172992671702E+24 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20786764,41463837064] |
[a1,a2,a3,a4,a6] |
Generators |
[-71578498668:5115537685475:51478848] |
Generators of the group modulo torsion |
j |
32980416957927794864/43737730557705625 |
j-invariant |
L |
1.9537987794403 |
L(r)(E,1)/r! |
Ω |
0.057809497913502 |
Real period |
R |
16.898597187685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997016842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28420c4 16240r4 |
Quadratic twists by: -4 -7 |