Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850bv |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-4288837280273437500 = -1 · 22 · 310 · 516 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12656188,17329388492] |
[a1,a2,a3,a4,a6] |
j |
-14348696196102335214841/274485585937500 |
j-invariant |
L |
4.5280451207396 |
L(r)(E,1)/r! |
Ω |
0.22640225603698 |
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 |
53550bv1 3570e1 124950fr1 |
Quadratic twists by: -3 5 -7 |