Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
117978c |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
108527040 |
Modular degree for the optimal curve |
Δ |
3.3766697379095E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 1 3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6291483089,-192080618361387] |
[a1,a2,a3,a4,a6] |
Generators |
[-344374476076794:184279018085233:7518017079] |
Generators of the group modulo torsion |
j |
442360006943430017593/54235247808 |
j-invariant |
L |
5.9485299706935 |
L(r)(E,1)/r! |
Ω |
0.016951623556607 |
Real period |
R |
17.545605442539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117978w1 |
Quadratic twists by: 53 |