Atkin-Lehner |
2+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
74200a |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2318750000000000 = 210 · 514 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203075,-35147250] |
[a1,a2,a3,a4,a6] |
Generators |
[-57594:45001:216] |
Generators of the group modulo torsion |
j |
57885943341636/144921875 |
j-invariant |
L |
3.7832153670082 |
L(r)(E,1)/r! |
Ω |
0.22493175935466 |
Real period |
R |
8.4096958512172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14840f3 |
Quadratic twists by: 5 |