Atkin-Lehner |
7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
42581a |
Isogeny class |
Conductor |
42581 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5232 |
Modular degree for the optimal curve |
Δ |
2086469 = 74 · 11 · 79 |
Discriminant |
Eigenvalues |
0 -2 1 7+ 11- 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-65,-213] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] [90:193:8] |
Generators of the group modulo torsion |
j |
12845056/869 |
j-invariant |
L |
5.9555804473653 |
L(r)(E,1)/r! |
Ω |
1.6863956556938 |
Real period |
R |
1.1771813309363 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42581j1 |
Quadratic twists by: -7 |