Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550g |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
38843130128906250 = 2 · 34 · 59 · 73 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-414150,-102318750] |
[a1,a2,a3,a4,a6] |
Generators |
[-381:780:1] |
Generators of the group modulo torsion |
j |
502780379797811809/2485960328250 |
j-invariant |
L |
3.2034180591442 |
L(r)(E,1)/r! |
Ω |
0.18825184751261 |
Real period |
R |
4.2541655008101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910be2 |
Quadratic twists by: 5 |