Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568br |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
1817088 = 29 · 3 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-168] |
[a1,a2,a3,a4,a6] |
Generators |
[78:690:1] |
Generators of the group modulo torsion |
j |
228488/21 |
j-invariant |
L |
13.044685896999 |
L(r)(E,1)/r! |
Ω |
1.7528956373014 |
Real period |
R |
3.7208963287525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568h1 113568cr1 |
Quadratic twists by: -4 13 |