Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240bd |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
5071323600 = 24 · 33 · 52 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8538,303637] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:525:1] [-58:777:1] |
Generators of the group modulo torsion |
j |
159333984479232/11739175 |
j-invariant |
L |
10.469920357238 |
L(r)(E,1)/r! |
Ω |
1.2982220771191 |
Real period |
R |
0.67206788306475 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93240i1 |
Quadratic twists by: -3 |