Atkin-Lehner |
2+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200o |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
25300000000 = 28 · 58 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 11- 2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2500,47500] |
[a1,a2,a3,a4,a6] |
Generators |
[25:25:1] |
Generators of the group modulo torsion |
j |
17280000/253 |
j-invariant |
L |
3.4937105342627 |
L(r)(E,1)/r! |
Ω |
1.1960543824604 |
Real period |
R |
0.97367660831645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50600m1 101200j1 |
Quadratic twists by: -4 5 |