Atkin-Lehner |
2+ 5+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111650c |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-38295950 = -1 · 2 · 52 · 74 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11+ -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-115,515] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:30:1] |
Generators of the group modulo torsion |
j |
-6819690145/1531838 |
j-invariant |
L |
3.6957242837925 |
L(r)(E,1)/r! |
Ω |
1.9578397647914 |
Real period |
R |
0.94382706223674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999370239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111650u1 |
Quadratic twists by: 5 |