Atkin-Lehner |
2+ 5+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
95120c |
Isogeny class |
Conductor |
95120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2856960 |
Modular degree for the optimal curve |
Δ |
10249477250000 = 24 · 56 · 293 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 0 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13666011,-19440571414] |
[a1,a2,a3,a4,a6] |
Generators |
[-81380421487544193311036945843188877085427086153270:29085622487474359057966609434634556370203245594:38135292159369072153202951267805833442544992739] |
Generators of the group modulo torsion |
j |
17641237999976086810445824/640592328125 |
j-invariant |
L |
5.8042484206001 |
L(r)(E,1)/r! |
Ω |
0.078521594593328 |
Real period |
R |
73.919135831774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47560e1 |
Quadratic twists by: -4 |