Atkin-Lehner |
2- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68962i |
Isogeny class |
Conductor |
68962 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-1.6397490927967E+20 |
Discriminant |
Eigenvalues |
2- -1 1 2 5 -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,674885,578236509] |
[a1,a2,a3,a4,a6] |
Generators |
[1163:53620:1] |
Generators of the group modulo torsion |
j |
57151154952359/275669940116 |
j-invariant |
L |
9.2963492571913 |
L(r)(E,1)/r! |
Ω |
0.13038953536271 |
Real period |
R |
4.4560464677659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2378a1 |
Quadratic twists by: 29 |