Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850bv |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-97428078125000000 = -1 · 26 · 512 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3587438,2615063492] |
[a1,a2,a3,a4,a6] |
Generators |
[872:11814:1] |
Generators of the group modulo torsion |
j |
-2777593363840009/53000000 |
j-invariant |
L |
13.720835906626 |
L(r)(E,1)/r! |
Ω |
0.3103289295084 |
Real period |
R |
1.8422436136575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000132751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970q2 2650h2 |
Quadratic twists by: 5 -7 |