Atkin-Lehner |
2+ 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78792l |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-1167994801008 = -1 · 24 · 33 · 79 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -1 -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-188764,31503737] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:7701:1] [212:1029:1] |
Generators of the group modulo torsion |
j |
-1152076147456/1809 |
j-invariant |
L |
11.120293658173 |
L(r)(E,1)/r! |
Ω |
0.73898821183188 |
Real period |
R |
1.2539998924764 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78792g1 |
Quadratic twists by: -7 |