Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800dh |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-7045120000000000 = -1 · 224 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 5 -7 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32500,-3350000] |
[a1,a2,a3,a4,a6] |
Generators |
[1053564:1081412512:1] |
Generators of the group modulo torsion |
j |
1482975/2752 |
j-invariant |
L |
5.7874301652911 |
L(r)(E,1)/r! |
Ω |
0.21964297634449 |
Real period |
R |
13.174630627197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800c1 17200k1 68800dw1 |
Quadratic twists by: -4 8 5 |