Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fe |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
-2.1308018692864E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-421824,-245853088] |
[a1,a2,a3,a4,a6] |
Generators |
[3316245762725452:25176945166088841:3816894953152] |
Generators of the group modulo torsion |
j |
-851968/2187 |
j-invariant |
L |
8.1883582951464 |
L(r)(E,1)/r! |
Ω |
0.087152017207067 |
Real period |
R |
23.488722801709 |
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 |
97344br1 24336bu1 32448ck1 97344fi1 |
Quadratic twists by: -4 8 -3 13 |