Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270r |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-4841313526387431360 = -1 · 26 · 35 · 5 · 538 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-325903,-127835134] |
[a1,a2,a3,a4,a6] |
Generators |
[4147880:-757550339:125] |
Generators of the group modulo torsion |
j |
-172715635009/218427840 |
j-invariant |
L |
6.4902042549732 |
L(r)(E,1)/r! |
Ω |
0.095368698196828 |
Real period |
R |
6.8053820349435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590j1 |
Quadratic twists by: 53 |