Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650bo |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
4.1147958362112E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1432242,-582743084] |
[a1,a2,a3,a4,a6] |
Generators |
[-511:4193:1] |
Generators of the group modulo torsion |
j |
28524992814753625/3612440788992 |
j-invariant |
L |
4.5779557237661 |
L(r)(E,1)/r! |
Ω |
0.13915449814066 |
Real period |
R |
2.7415305619827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550by1 3906o1 |
Quadratic twists by: -3 5 |