Atkin-Lehner |
2+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
1030a |
Isogeny class |
Conductor |
1030 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
-32960 = -1 · 26 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 -2 -6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9,12] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] |
Generators of the group modulo torsion |
j |
-68417929/32960 |
j-invariant |
L |
2.1366607543158 |
L(r)(E,1)/r! |
Ω |
3.4429629027661 |
Real period |
R |
0.31029389724169 |
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 |
8240j1 32960h1 9270v1 5150p1 |
Quadratic twists by: -4 8 -3 5 |