Atkin-Lehner |
2+ 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
12410c |
Isogeny class |
Conductor |
12410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4510828894720 = 29 · 5 · 176 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 -3 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43608,-3507162] |
[a1,a2,a3,a4,a6] |
Generators |
[108402:2117237:216] |
Generators of the group modulo torsion |
j |
9170814373229132281/4510828894720 |
j-invariant |
L |
3.8109668294809 |
L(r)(E,1)/r! |
Ω |
0.33038629700458 |
Real period |
R |
5.7674408170567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99280u2 111690br2 62050ba2 |
Quadratic twists by: -4 -3 5 |