Atkin-Lehner |
2- 3+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352cb |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
42010555392 = 210 · 38 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8229,-284427] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:13:1] [1274:12441:8] |
Generators of the group modulo torsion |
j |
60189081714688/41025933 |
j-invariant |
L |
8.5867173917396 |
L(r)(E,1)/r! |
Ω |
0.50127513221662 |
Real period |
R |
8.5648746956712 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352bi1 23088n1 |
Quadratic twists by: -4 8 |