Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950hy |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
103998384000000 = 210 · 33 · 56 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30038,-1945308] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:250:1] |
Generators of the group modulo torsion |
j |
3914907891433/135834624 |
j-invariant |
L |
14.266615623639 |
L(r)(E,1)/r! |
Ω |
0.36341795684783 |
Real period |
R |
0.43618634701182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998f1 124950ek1 |
Quadratic twists by: 5 -7 |