Atkin-Lehner |
2- 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10030m |
Isogeny class |
Conductor |
10030 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-2617861343750 = -1 · 2 · 56 · 175 · 59 |
Discriminant |
Eigenvalues |
2- 3 5- 2 0 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4137,-127601] |
[a1,a2,a3,a4,a6] |
j |
-7828559452832481/2617861343750 |
j-invariant |
L |
8.7806973215678 |
L(r)(E,1)/r! |
Ω |
0.29268991071893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80240z1 90270g1 50150f1 |
Quadratic twists by: -4 -3 5 |