Atkin-Lehner |
3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77319o |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
2.1621018800078E+20 |
Discriminant |
Eigenvalues |
0 3- 1 3 11- -7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1500642,12479123] |
[a1,a2,a3,a4,a6] |
Generators |
[-336567:7971853:343] |
Generators of the group modulo torsion |
j |
289381900713984/167414286061 |
j-invariant |
L |
5.7792403114223 |
L(r)(E,1)/r! |
Ω |
0.15018328808513 |
Real period |
R |
2.4050779825933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8591a1 7029f1 |
Quadratic twists by: -3 -11 |