Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480j |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-29304582278400000 = -1 · 211 · 37 · 55 · 115 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71283,-11022482] |
[a1,a2,a3,a4,a6] |
Generators |
[386:4356:1] |
Generators of the group modulo torsion |
j |
-26830214120162/19628090625 |
j-invariant |
L |
5.8586449568561 |
L(r)(E,1)/r! |
Ω |
0.14156145327934 |
Real period |
R |
2.0692938724194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102960u1 17160w1 |
Quadratic twists by: -4 -3 |