Atkin-Lehner |
2+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800bv |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-1720000 = -1 · 26 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -3 1 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17,-63] |
[a1,a2,a3,a4,a6] |
j |
12800/43 |
j-invariant |
L |
4.0617430878433 |
L(r)(E,1)/r! |
Ω |
1.3539143679056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800cn1 34400bp1 68800bm1 |
Quadratic twists by: -4 8 5 |