Atkin-Lehner |
2+ 3+ 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
110550a |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-376215468750 = -1 · 2 · 33 · 57 · 113 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 7 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2525,-58125] |
[a1,a2,a3,a4,a6] |
Generators |
[470:-35:8] |
Generators of the group modulo torsion |
j |
-114013572049/24077790 |
j-invariant |
L |
5.1486011452396 |
L(r)(E,1)/r! |
Ω |
0.33296200311064 |
Real period |
R |
3.8657572641273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22110q1 |
Quadratic twists by: 5 |