Atkin-Lehner |
2- 3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658co |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
159379517242408848 = 24 · 3 · 76 · 11 · 376 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3309363,2315747937] |
[a1,a2,a3,a4,a6] |
Generators |
[1035:266:1] |
Generators of the group modulo torsion |
j |
34069730739753390625/1354703543952 |
j-invariant |
L |
9.9087792557045 |
L(r)(E,1)/r! |
Ω |
0.30357223748572 |
Real period |
R |
2.720049784453 |
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 |
2442i3 |
Quadratic twists by: -7 |