Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600bm |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
275876928000000 = 212 · 310 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33008,2176512] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:1850:1] |
Generators of the group modulo torsion |
j |
62146192681/4310577 |
j-invariant |
L |
7.2033097739136 |
L(r)(E,1)/r! |
Ω |
0.53912582274639 |
Real period |
R |
3.3402730284366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5475h1 3504v1 |
Quadratic twists by: -4 5 |