Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800d |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3228864800000000 = 211 · 58 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43408,2169312] |
[a1,a2,a3,a4,a6] |
Generators |
[1653:66666:1] |
Generators of the group modulo torsion |
j |
282678688658/100902025 |
j-invariant |
L |
9.184027909107 |
L(r)(E,1)/r! |
Ω |
0.41060020621011 |
Real period |
R |
5.5918310101875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57400t2 22960c2 |
Quadratic twists by: -4 5 |