Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50700bi |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-96096780000000 = -1 · 28 · 37 · 57 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -3 13- -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12133,693863] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:450:1] [173:-1950:1] |
Generators of the group modulo torsion |
j |
-22478848/10935 |
j-invariant |
L |
9.963496409399 |
L(r)(E,1)/r! |
Ω |
0.55984465572626 |
Real period |
R |
0.10593389726922 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10140j1 50700bh1 |
Quadratic twists by: 5 13 |