Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483r |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-149027809924291599 = -1 · 32 · 79 · 177 |
Discriminant |
Eigenvalues |
1 3- 2 7- 6 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64020,-19597259] |
[a1,a2,a3,a4,a6] |
Generators |
[18359939412542:297006587157981:37460865736] |
Generators of the group modulo torsion |
j |
-29791/153 |
j-invariant |
L |
10.104855101808 |
L(r)(E,1)/r! |
Ω |
0.13530233640866 |
Real period |
R |
18.670880655171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127449bm1 42483k1 2499b1 |
Quadratic twists by: -3 -7 17 |