Atkin-Lehner |
2- 3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650cg |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
51060000000 = 28 · 3 · 57 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 -5 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3313,-73969] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:42:1] |
Generators of the group modulo torsion |
j |
257380823881/3267840 |
j-invariant |
L |
9.6918064138395 |
L(r)(E,1)/r! |
Ω |
0.62976286203719 |
Real period |
R |
0.96185079673896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998391696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530p1 |
Quadratic twists by: 5 |