Atkin-Lehner |
2+ 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
38710o |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
3793580000 = 25 · 54 · 74 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -3 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-989,-11355] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:27:1] |
Generators of the group modulo torsion |
j |
44582807241/1580000 |
j-invariant |
L |
3.3895543836124 |
L(r)(E,1)/r! |
Ω |
0.85314886904346 |
Real period |
R |
0.3310827401292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38710i1 |
Quadratic twists by: -7 |