Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176r |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7772160 |
Modular degree for the optimal curve |
Δ |
-1.8786770385829E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 -6 -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43655196,111039789436] |
[a1,a2,a3,a4,a6] |
Generators |
[103035:119557:27] |
Generators of the group modulo torsion |
j |
-1190106112/243 |
j-invariant |
L |
2.6143281937441 |
L(r)(E,1)/r! |
Ω |
0.14399590216746 |
Real period |
R |
9.0777867740038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38088x1 25392j1 76176g1 |
Quadratic twists by: -4 -3 -23 |