Atkin-Lehner |
2+ 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61642l |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
180000 |
Modular degree for the optimal curve |
Δ |
-7048161628858 = -1 · 2 · 72 · 175 · 373 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- -2 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3421,-102761] |
[a1,a2,a3,a4,a6] |
Generators |
[27:80:1] [55:472:1] |
Generators of the group modulo torsion |
j |
90347355174951/143840033242 |
j-invariant |
L |
5.0761898928501 |
L(r)(E,1)/r! |
Ω |
0.39373513986482 |
Real period |
R |
0.85949315989132 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61642a1 |
Quadratic twists by: -7 |