Atkin-Lehner |
2- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
41536p |
Isogeny class |
Conductor |
41536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-31397654042771456 = -1 · 242 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 1 1 3 11+ 4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70785,-11213953] |
[a1,a2,a3,a4,a6] |
Generators |
[513815299:41272819016:79507] |
Generators of the group modulo torsion |
j |
-149628263143969/119772545024 |
j-invariant |
L |
8.1671733651128 |
L(r)(E,1)/r! |
Ω |
0.14150037225142 |
Real period |
R |
14.429596960016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41536h1 10384d1 |
Quadratic twists by: -4 8 |