Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244h |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-339866581764528 = -1 · 24 · 39 · 72 · 132 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41796,3406401] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-1729:1] |
Generators of the group modulo torsion |
j |
-25639916027904/1079188201 |
j-invariant |
L |
4.3146992287766 |
L(r)(E,1)/r! |
Ω |
0.53574167100163 |
Real period |
R |
0.33557056370336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62244f1 |
Quadratic twists by: -3 |