Atkin-Lehner |
2- 3- 5- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
31110z |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
242 |
Product of Tamagawa factors cp |
deg |
100672 |
Modular degree for the optimal curve |
Δ |
-9405513676800 = -1 · 211 · 311 · 52 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -3 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1380,148752] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-372:1] |
Generators of the group modulo torsion |
j |
-290656902035521/9405513676800 |
j-invariant |
L |
9.3408477144329 |
L(r)(E,1)/r! |
Ω |
0.60781441779333 |
Real period |
R |
0.06350383134156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93330o1 |
Quadratic twists by: -3 |