Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5280h |
Isogeny class |
Conductor |
5280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-158400 = -1 · 26 · 32 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10,-12] |
[a1,a2,a3,a4,a6] |
j |
1560896/2475 |
j-invariant |
L |
3.417366602708 |
L(r)(E,1)/r! |
Ω |
1.708683301354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5280m1 10560b2 15840u1 26400bm1 |
Quadratic twists by: -4 8 -3 5 |