Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184y |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-96276102434164224 = -1 · 29 · 312 · 115 · 133 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37077,14673454] |
[a1,a2,a3,a4,a6] |
Generators |
[9:3874:1] |
Generators of the group modulo torsion |
j |
15102191874232/257941375263 |
j-invariant |
L |
5.3037077431906 |
L(r)(E,1)/r! |
Ω |
0.25129110417345 |
Real period |
R |
5.2764579158416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41184bc1 82368ex1 13728f1 |
Quadratic twists by: -4 8 -3 |