Atkin-Lehner |
2- 3- 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113652j |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-2377945785777408 = -1 · 28 · 36 · 75 · 11 · 413 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22569,1949726] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:164:1] [94:2214:1] |
Generators of the group modulo torsion |
j |
6812290634672/12741907717 |
j-invariant |
L |
9.6331491544878 |
L(r)(E,1)/r! |
Ω |
0.31619851445029 |
Real period |
R |
5.0775850786495 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12628b1 |
Quadratic twists by: -3 |