Atkin-Lehner |
3+ 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
74175o |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20062080 |
Modular degree for the optimal curve |
Δ |
-1.3560932098389E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -5 6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-810127313,8874859928906] |
[a1,a2,a3,a4,a6] |
Generators |
[16580:24497:1] |
Generators of the group modulo torsion |
j |
-3763253804902063027927458121/867899654296875 |
j-invariant |
L |
2.0901186263044 |
L(r)(E,1)/r! |
Ω |
0.13105218679376 |
Real period |
R |
2.6581250783073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14835f1 |
Quadratic twists by: 5 |