Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950hz |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-11807775000000 = -1 · 26 · 34 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2687,156617] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-541:1] |
Generators of the group modulo torsion |
j |
400315553/2203200 |
j-invariant |
L |
14.874814802057 |
L(r)(E,1)/r! |
Ω |
0.51579292118595 |
Real period |
R |
0.60080695490686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990l1 124950ev1 |
Quadratic twists by: 5 -7 |