Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414bk |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-6.2219506853899E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 1 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,736029,-291654027] |
[a1,a2,a3,a4,a6] |
Generators |
[357:3885:1] |
Generators of the group modulo torsion |
j |
30004847/42336 |
j-invariant |
L |
3.399882351069 |
L(r)(E,1)/r! |
Ω |
0.10456656955807 |
Real period |
R |
4.0642558676245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138bc1 36414bc1 |
Quadratic twists by: -3 17 |