Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bx |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
150051216700 = 22 · 52 · 7 · 118 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4298,105051] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:277:1] |
Generators of the group modulo torsion |
j |
1638505/28 |
j-invariant |
L |
7.1549221003055 |
L(r)(E,1)/r! |
Ω |
1.0299854925647 |
Real period |
R |
1.1577706922357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350bp1 42350x1 |
Quadratic twists by: 5 -11 |