Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
24400t |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-15616000000000 = -1 · 217 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 -1 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14075,670250] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-250:1] |
Generators of the group modulo torsion |
j |
-4818245769/244000 |
j-invariant |
L |
4.4417642498258 |
L(r)(E,1)/r! |
Ω |
0.69049128631845 |
Real period |
R |
0.8040949136209 |
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 |
3050i1 97600br1 4880f1 |
Quadratic twists by: -4 8 5 |