Atkin-Lehner |
2- 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48944i |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-318968048 = -1 · 24 · 74 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ -4 5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-294,2027] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:49:1] [7:19:1] |
Generators of the group modulo torsion |
j |
-176247139072/19935503 |
j-invariant |
L |
9.5398037105146 |
L(r)(E,1)/r! |
Ω |
1.6707996724187 |
Real period |
R |
1.4274308087314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12236g1 |
Quadratic twists by: -4 |