Atkin-Lehner |
2+ 3+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
92112c |
Isogeny class |
Conductor |
92112 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-58196012311296 = -1 · 28 · 32 · 195 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 -5 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-367011] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1083:1] |
Generators of the group modulo torsion |
j |
-120472576/227328173091 |
j-invariant |
L |
5.8962164906426 |
L(r)(E,1)/r! |
Ω |
0.2866464263375 |
Real period |
R |
1.0284824702537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46056b1 |
Quadratic twists by: -4 |