Atkin-Lehner |
2+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800by |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-940854035200000000 = -1 · 214 · 58 · 435 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 4 6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-495333,-142231037] |
[a1,a2,a3,a4,a6] |
j |
-2100082723840/147008443 |
j-invariant |
L |
2.4196954105982 |
L(r)(E,1)/r! |
Ω |
0.089618348096604 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800ei1 8600d1 68800bi1 |
Quadratic twists by: -4 8 5 |