Atkin-Lehner |
2- 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
99540m |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
159344640 |
Modular degree for the optimal curve |
Δ |
1.1715185127735E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -3 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44331812328,-3592703214977452] |
[a1,a2,a3,a4,a6] |
Generators |
[-3037720014331734764:7015810644718659:24989286696256] |
Generators of the group modulo torsion |
j |
51630065574484672360058973577216/6277426873143229125 |
j-invariant |
L |
5.8798638045867 |
L(r)(E,1)/r! |
Ω |
0.010404487269904 |
Real period |
R |
21.735680192804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33180i1 |
Quadratic twists by: -3 |