Atkin-Lehner |
5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11515j |
Isogeny class |
Conductor |
11515 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
40824 |
Modular degree for the optimal curve |
Δ |
10799810546875 = 59 · 76 · 47 |
Discriminant |
Eigenvalues |
-1 1 5- 7- 3 -3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-174000,27921557] |
[a1,a2,a3,a4,a6] |
Generators |
[229:198:1] |
Generators of the group modulo torsion |
j |
4952031207028849/91796875 |
j-invariant |
L |
3.4816863030912 |
L(r)(E,1)/r! |
Ω |
0.66235000062145 |
Real period |
R |
0.58406285696963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103635s1 57575g1 235b1 |
Quadratic twists by: -3 5 -7 |