Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656bm |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
1938650112 = 210 · 36 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -5 -1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1584,23652] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-36:1] [-18:216:1] |
Generators of the group modulo torsion |
j |
8765311492/38637 |
j-invariant |
L |
12.07572229787 |
L(r)(E,1)/r! |
Ω |
1.4852327321769 |
Real period |
R |
0.33877188728597 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328l1 124656d1 |
Quadratic twists by: -4 -7 |