Atkin-Lehner |
2+ 3- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390p |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-624190095360 = -1 · 216 · 37 · 5 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -5 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28530,1862356] |
[a1,a2,a3,a4,a6] |
Generators |
[212:2198:1] |
Generators of the group modulo torsion |
j |
-3522979056149281/856227840 |
j-invariant |
L |
4.5476928961511 |
L(r)(E,1)/r! |
Ω |
0.89041668860198 |
Real period |
R |
1.276844018833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26130s1 |
Quadratic twists by: -3 |