Atkin-Lehner |
2+ 3- 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042ba |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1775616 |
Modular degree for the optimal curve |
Δ |
-1227977896350449664 = -1 · 234 · 37 · 72 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -5 -5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,139482,-49436492] |
[a1,a2,a3,a4,a6] |
Generators |
[38380:570634:125] |
Generators of the group modulo torsion |
j |
411669726023975327/1684468993622016 |
j-invariant |
L |
5.2648957590312 |
L(r)(E,1)/r! |
Ω |
0.13826364626856 |
Real period |
R |
2.3799168758632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28014r1 |
Quadratic twists by: -3 |