Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37926ca |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
120495460186524024 = 23 · 311 · 711 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 -7 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6462644,-6321948321] |
[a1,a2,a3,a4,a6] |
Generators |
[4139:192411:1] |
Generators of the group modulo torsion |
j |
348047549263412713/1404930744 |
j-invariant |
L |
5.9967505952951 |
L(r)(E,1)/r! |
Ω |
0.094688471670989 |
Real period |
R |
1.3194035331221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642i1 5418r1 |
Quadratic twists by: -3 -7 |