Atkin-Lehner |
2- 3+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94350bk |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
270666562500 = 22 · 34 · 57 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8088,-282219] |
[a1,a2,a3,a4,a6] |
Generators |
[105:147:1] |
Generators of the group modulo torsion |
j |
3744815880889/17322660 |
j-invariant |
L |
10.876078782948 |
L(r)(E,1)/r! |
Ω |
0.50357003641611 |
Real period |
R |
2.6997433332172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870i1 |
Quadratic twists by: 5 |