Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910cg |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-187061910000 = -1 · 24 · 3 · 54 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1471,-30199] |
[a1,a2,a3,a4,a6] |
Generators |
[3518:71741:8] |
Generators of the group modulo torsion |
j |
-2992209121/1590000 |
j-invariant |
L |
11.942793574143 |
L(r)(E,1)/r! |
Ω |
0.37608091995159 |
Real period |
R |
3.9694893238955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590o1 |
Quadratic twists by: -7 |