Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600dk |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4917248000000000 = -1 · 220 · 59 · 74 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 0 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6125,-3368750] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1750:1] |
Generators of the group modulo torsion |
j |
1323/256 |
j-invariant |
L |
3.0474256457283 |
L(r)(E,1)/r! |
Ω |
0.20385350190752 |
Real period |
R |
1.2457580309768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450n1 78400jq1 19600dj1 19600eb1 |
Quadratic twists by: -4 8 5 -7 |