Atkin-Lehner |
2- 3+ 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650cs |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
-633014085386880000 = -1 · 210 · 319 · 54 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 6 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,207512,-11808919] |
[a1,a2,a3,a4,a6] |
Generators |
[579:17113:1] |
Generators of the group modulo torsion |
j |
1581150509822824175/1012822536619008 |
j-invariant |
L |
10.151702536799 |
L(r)(E,1)/r! |
Ω |
0.16529046344226 |
Real period |
R |
6.1417351690631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650y1 |
Quadratic twists by: 5 |