Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24843q |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-863729132354361 = -1 · 32 · 76 · 138 |
Discriminant |
Eigenvalues |
1 3- 1 7- -2 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-82983,-9315785] |
[a1,a2,a3,a4,a6] |
Generators |
[4397429179:-74393954517:9129329] |
Generators of the group modulo torsion |
j |
-658489/9 |
j-invariant |
L |
8.2429961728144 |
L(r)(E,1)/r! |
Ω |
0.14053024314693 |
Real period |
R |
14.664096475298 |
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 |
74529bb1 507a1 24843r1 |
Quadratic twists by: -3 -7 13 |