Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800dl |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-844800000000 = -1 · 216 · 3 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8833,-325537] |
[a1,a2,a3,a4,a6] |
Generators |
[56917:574512:343] |
Generators of the group modulo torsion |
j |
-2977540/33 |
j-invariant |
L |
7.4366009548754 |
L(r)(E,1)/r! |
Ω |
0.24606600180006 |
Real period |
R |
7.5554941564169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800fo1 6600z1 52800j1 |
Quadratic twists by: -4 8 5 |