Atkin-Lehner |
2- 3- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
45816h |
Isogeny class |
Conductor |
45816 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
198799196914944 = 28 · 310 · 23 · 833 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 -6 4 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19505,-806013] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:417:1] [-83:498:1] |
Generators of the group modulo torsion |
j |
3205855006913536/776559362949 |
j-invariant |
L |
10.311782077324 |
L(r)(E,1)/r! |
Ω |
0.41110453372147 |
Real period |
R |
0.41805190778683 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91632c1 |
Quadratic twists by: -4 |