Atkin-Lehner |
3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93795c |
Isogeny class |
Conductor |
93795 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
1057822343150625 = 36 · 54 · 137 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39718,-2630753] |
[a1,a2,a3,a4,a6] |
Generators |
[-642:2071:8] |
Generators of the group modulo torsion |
j |
1435630901041/219155625 |
j-invariant |
L |
6.5217640762497 |
L(r)(E,1)/r! |
Ω |
0.34164984598191 |
Real period |
R |
4.7722574484052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999805499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215d1 |
Quadratic twists by: 13 |