Atkin-Lehner |
2- 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7714d |
Isogeny class |
Conductor |
7714 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-32830784 = -1 · 26 · 72 · 192 · 29 |
Discriminant |
Eigenvalues |
2- -3 -1 7+ -5 -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,72,123] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] [3:17:1] |
Generators of the group modulo torsion |
j |
41818056111/32830784 |
j-invariant |
L |
4.835414375728 |
L(r)(E,1)/r! |
Ω |
1.3344132302291 |
Real period |
R |
0.15098441354194 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61712m1 69426j1 53998q1 |
Quadratic twists by: -4 -3 -7 |