Atkin-Lehner |
5+ 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76475b |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
930471325 = 52 · 7 · 19 · 234 |
Discriminant |
Eigenvalues |
-1 1 5+ 7+ -1 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-818,-8953] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:107:8] [71:505:1] |
Generators of the group modulo torsion |
j |
2421457197385/37218853 |
j-invariant |
L |
7.7852295368966 |
L(r)(E,1)/r! |
Ω |
0.89353781363218 |
Real period |
R |
2.1782037139757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76475u1 |
Quadratic twists by: 5 |