Atkin-Lehner |
2+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
38710l |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
193550 = 2 · 52 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -5 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
14338681/3950 |
j-invariant |
L |
2.5015488471272 |
L(r)(E,1)/r! |
Ω |
2.3490923263072 |
Real period |
R |
0.53245009127801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38710q1 |
Quadratic twists by: -7 |