Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17400bh |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-25056000 = -1 · 28 · 33 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 1 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,-243] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
1024/783 |
j-invariant |
L |
3.6463197299278 |
L(r)(E,1)/r! |
Ω |
0.99087042479213 |
Real period |
R |
0.91997894949099 |
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 |
34800bm1 52200be1 17400q1 |
Quadratic twists by: -4 -3 5 |