Atkin-Lehner |
3+ 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77805a |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-276509244375 = -1 · 39 · 54 · 7 · 132 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -6 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2850,64511] |
[a1,a2,a3,a4,a6] |
Generators |
[206:599:8] |
Generators of the group modulo torsion |
j |
-130092635763/14048125 |
j-invariant |
L |
4.0120532117991 |
L(r)(E,1)/r! |
Ω |
0.95184678598715 |
Real period |
R |
2.1075099852904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77805f1 |
Quadratic twists by: -3 |