Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050fa |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-180074526964183800 = -1 · 23 · 315 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18220,20390127] |
[a1,a2,a3,a4,a6] |
Generators |
[23:4551:1] |
Generators of the group modulo torsion |
j |
7604375/2047032 |
j-invariant |
L |
7.8000922641438 |
L(r)(E,1)/r! |
Ω |
0.24808793839177 |
Real period |
R |
1.3100348466688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350h1 76050ct1 5850k1 |
Quadratic twists by: -3 5 13 |