Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950er |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
1.0631899436245E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-565612538,-1482273550969] |
[a1,a2,a3,a4,a6] |
Generators |
[-6199:1339435:1] |
Generators of the group modulo torsion |
j |
222165413800219579417/118033833938006016 |
j-invariant |
L |
6.3824798525099 |
L(r)(E,1)/r! |
Ω |
0.032883605238964 |
Real period |
R |
1.7971580279408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998k2 124950hw2 |
Quadratic twists by: 5 -7 |