Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050dx |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1043641805793795000 = -1 · 23 · 39 · 54 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-121205,51795397] |
[a1,a2,a3,a4,a6] |
Generators |
[829:22400:1] |
Generators of the group modulo torsion |
j |
-3316275/17576 |
j-invariant |
L |
10.347624786032 |
L(r)(E,1)/r! |
Ω |
0.23962055702769 |
Real period |
R |
1.19953824243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050t1 76050g2 5850g2 |
Quadratic twists by: -3 5 13 |