Atkin-Lehner |
2- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
79424m |
Isogeny class |
Conductor |
79424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
371068928 = 212 · 17 · 732 |
Discriminant |
Eigenvalues |
2- -2 0 0 -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120793,-16199193] |
[a1,a2,a3,a4,a6] |
Generators |
[10874:386389:8] |
Generators of the group modulo torsion |
j |
47587475033272000/90593 |
j-invariant |
L |
3.3771120590136 |
L(r)(E,1)/r! |
Ω |
0.25608775520486 |
Real period |
R |
6.5936617256164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997711 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79424l1 39712a1 |
Quadratic twists by: -4 8 |