Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616u |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
-837312 = -1 · 26 · 3 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23,7] |
[a1,a2,a3,a4,a6] |
Generators |
[18:77:1] |
Generators of the group modulo torsion |
j |
20123648/13083 |
j-invariant |
L |
7.1777413240883 |
L(r)(E,1)/r! |
Ω |
1.7612711923772 |
Real period |
R |
2.0376593130162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119616h1 29904f1 |
Quadratic twists by: -4 8 |