Atkin-Lehner |
2+ 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550y |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-80547840000000 = -1 · 218 · 32 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -1 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2876,-436102] |
[a1,a2,a3,a4,a6] |
Generators |
[2097:94951:1] |
Generators of the group modulo torsion |
j |
-168288035761/5155061760 |
j-invariant |
L |
5.0735536959569 |
L(r)(E,1)/r! |
Ω |
0.26491916072581 |
Real period |
R |
2.3939159788176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110x1 |
Quadratic twists by: 5 |