Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950iy |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
7500123750 = 2 · 3 · 54 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,4542] |
[a1,a2,a3,a4,a6] |
Generators |
[6:507:8] |
Generators of the group modulo torsion |
j |
390625/102 |
j-invariant |
L |
13.215278037271 |
L(r)(E,1)/r! |
Ω |
1.2348185614838 |
Real period |
R |
3.5674007644944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950bf1 2550y1 |
Quadratic twists by: 5 -7 |