Atkin-Lehner |
3- 5+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77805r |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-29576248065 = -1 · 36 · 5 · 7 · 132 · 193 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 13- -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,765,-1670] |
[a1,a2,a3,a4,a6] |
Generators |
[18:124:1] |
Generators of the group modulo torsion |
j |
67867385039/40570985 |
j-invariant |
L |
6.920325724326 |
L(r)(E,1)/r! |
Ω |
0.68683935300101 |
Real period |
R |
1.6792683991262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8645b1 |
Quadratic twists by: -3 |