Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
7200t |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-50388480000 = -1 · 212 · 39 · 54 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -4 -3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,600,9200] |
[a1,a2,a3,a4,a6] |
Generators |
[4:108:1] |
Generators of the group modulo torsion |
j |
12800/27 |
j-invariant |
L |
3.8205801270513 |
L(r)(E,1)/r! |
Ω |
0.78035650325893 |
Real period |
R |
0.61199274163408 |
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 |
7200bs1 14400bx1 2400x1 7200bi1 |
Quadratic twists by: -4 8 -3 5 |