Atkin-Lehner |
2- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34850t |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
45678592000000 = 222 · 56 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17430,828197] |
[a1,a2,a3,a4,a6] |
Generators |
[49:275:1] |
Generators of the group modulo torsion |
j |
37477661819625/2923429888 |
j-invariant |
L |
7.7347396784674 |
L(r)(E,1)/r! |
Ω |
0.62453234813989 |
Real period |
R |
1.1258954875311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1394a1 |
Quadratic twists by: 5 |