Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21658bh |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
880 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
2.0010878764595E+22 |
Discriminant |
Eigenvalues |
2- -2 -4 7- -2 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7102600,-2600716224] |
[a1,a2,a3,a4,a6] |
Generators |
[-2264:44448:1] |
Generators of the group modulo torsion |
j |
336811992790162430449/170089663019614208 |
j-invariant |
L |
3.3529820248111 |
L(r)(E,1)/r! |
Ω |
0.097527156234219 |
Real period |
R |
0.15627265239748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
442e1 |
Quadratic twists by: -7 |