Atkin-Lehner |
2+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76874b |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-157437952 = -1 · 212 · 7 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -2 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-491,-4266] |
[a1,a2,a3,a4,a6] |
Generators |
[79:632:1] |
Generators of the group modulo torsion |
j |
-45164607625/544768 |
j-invariant |
L |
2.4747331982493 |
L(r)(E,1)/r! |
Ω |
0.5068661210836 |
Real period |
R |
2.4412099126438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76874m1 |
Quadratic twists by: 17 |