Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800cc |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-2408248951143750000 = -1 · 24 · 32 · 58 · 117 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5381208,-4803503463] |
[a1,a2,a3,a4,a6] |
Generators |
[20456454629988:351765788681949:7267563953] |
Generators of the group modulo torsion |
j |
-2757294236281534720/385319832183 |
j-invariant |
L |
4.4751579946047 |
L(r)(E,1)/r! |
Ω |
0.049561673959827 |
Real period |
R |
22.573682631423 |
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 |
85800x1 |
Quadratic twists by: 5 |