Atkin-Lehner |
2- 7- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120176x |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
-59996468543750144 = -1 · 218 · 78 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 3 3 7- 1 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-928171,344385242] |
[a1,a2,a3,a4,a6] |
j |
-21589756761706493697/14647575328064 |
j-invariant |
L |
11.126391517796 |
L(r)(E,1)/r! |
Ω |
0.34769979497282 |
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 |
15022g1 |
Quadratic twists by: -4 |