Atkin-Lehner |
2+ 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550m |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
221870407500000 = 25 · 33 · 57 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61167,5793741] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:3333:1] |
Generators of the group modulo torsion |
j |
59992292429523/525915040 |
j-invariant |
L |
5.6057273242085 |
L(r)(E,1)/r! |
Ω |
0.56259927576684 |
Real period |
R |
0.62274868286811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550dg2 23310bg2 |
Quadratic twists by: -3 5 |