Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fk |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
126157824 = 210 · 36 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 1 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,520] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:31:1] |
Generators of the group modulo torsion |
j |
3328 |
j-invariant |
L |
4.6468382288487 |
L(r)(E,1)/r! |
Ω |
1.7214331295595 |
Real period |
R |
2.6994009501272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344bz1 24336g1 10816bd1 97344fc1 |
Quadratic twists by: -4 8 -3 13 |