Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696ba |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13083840 |
Modular degree for the optimal curve |
Δ |
-2.5225277102717E+24 |
Discriminant |
Eigenvalues |
2- -2 3 4 -4 7 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,889976,-76413576972] |
[a1,a2,a3,a4,a6] |
Generators |
[425272948070875209100538147388341564834261756538262:22706768243361665532851694792086701485847653807540383:79466043266832844396991199580896521744885461112] |
Generators of the group modulo torsion |
j |
129623/4194304 |
j-invariant |
L |
6.0725675962914 |
L(r)(E,1)/r! |
Ω |
0.037471150892115 |
Real period |
R |
81.029905029807 |
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 |
6962e1 55696z1 |
Quadratic twists by: -4 -59 |