Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150b |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
2696973926400000000 = 220 · 34 · 58 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-981650,365512500] |
[a1,a2,a3,a4,a6] |
Generators |
[-524:27398:1] |
Generators of the group modulo torsion |
j |
6695367041819128609/172606331289600 |
j-invariant |
L |
3.7874964768979 |
L(r)(E,1)/r! |
Ω |
0.2549870417085 |
Real period |
R |
3.7134205430204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bk1 |
Quadratic twists by: 5 |