Atkin-Lehner |
2- 3+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109554s |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-223006369536 = -1 · 28 · 34 · 192 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3089,68591] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:280:1] [-178:2935:8] |
Generators of the group modulo torsion |
j |
-109421116687/7485696 |
j-invariant |
L |
13.426114321993 |
L(r)(E,1)/r! |
Ω |
0.9785352440019 |
Real period |
R |
0.85753901077714 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109554w1 |
Quadratic twists by: -31 |