Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050cz |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12042240 |
Modular degree for the optimal curve |
Δ |
1.1856758977066E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12282867,270615541] |
[a1,a2,a3,a4,a6] |
Generators |
[-3162:88109:1] |
Generators of the group modulo torsion |
j |
29819839301/17252352 |
j-invariant |
L |
2.0260805320365 |
L(r)(E,1)/r! |
Ω |
0.088772665712995 |
Real period |
R |
2.8529059552872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350cm1 76050gd1 5850by1 |
Quadratic twists by: -3 5 13 |