Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800c |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
2990080000000000 = 222 · 510 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 6 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1518700,720366000] |
[a1,a2,a3,a4,a6] |
Generators |
[546378:16603392:343] |
Generators of the group modulo torsion |
j |
94575738893481/730000 |
j-invariant |
L |
6.6488752745253 |
L(r)(E,1)/r! |
Ω |
0.40431499264931 |
Real period |
R |
8.2223951434798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116800bm1 3650i1 23360e1 |
Quadratic twists by: -4 8 5 |