Atkin-Lehner |
2- 3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658co |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
25958601015732 = 22 · 32 · 76 · 112 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52949303,148277027513] |
[a1,a2,a3,a4,a6] |
Generators |
[4143:4396:1] |
Generators of the group modulo torsion |
j |
139545621883503188502625/220644468 |
j-invariant |
L |
9.9087792557045 |
L(r)(E,1)/r! |
Ω |
0.30357223748572 |
Real period |
R |
1.3600248922265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442i4 |
Quadratic twists by: -7 |