Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bh |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-408642977792 = -1 · 216 · 76 · 53 |
Discriminant |
Eigenvalues |
2- -1 4 7- 4 -1 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5896,178928] |
[a1,a2,a3,a4,a6] |
Generators |
[82:490:1] |
Generators of the group modulo torsion |
j |
-47045881/848 |
j-invariant |
L |
6.4066521906637 |
L(r)(E,1)/r! |
Ω |
0.94734565818239 |
Real period |
R |
1.6906849509811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194f1 848a1 |
Quadratic twists by: -4 -7 |