Atkin-Lehner |
2- 3+ 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440bj |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
151715865600000000 = 216 · 32 · 58 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-259496,47389296] |
[a1,a2,a3,a4,a6] |
Generators |
[100:4736:1] |
Generators of the group modulo torsion |
j |
471799461853344169/37040006250000 |
j-invariant |
L |
6.028036112317 |
L(r)(E,1)/r! |
Ω |
0.31771849628326 |
Real period |
R |
1.5810736480535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430q1 |
Quadratic twists by: -4 |