Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050cv |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-107211723967968750 = -1 · 2 · 37 · 58 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,75258,-13621334] |
[a1,a2,a3,a4,a6] |
Generators |
[725:20171:1] |
Generators of the group modulo torsion |
j |
34295/78 |
j-invariant |
L |
3.4635129336828 |
L(r)(E,1)/r! |
Ω |
0.17337458773585 |
Real period |
R |
2.4971313385506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350cj1 76050ex1 5850bx1 |
Quadratic twists by: -3 5 13 |