Atkin-Lehner |
2- 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150db |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-36948927600000000 = -1 · 210 · 39 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,29995,9021997] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:1960:1] |
Generators of the group modulo torsion |
j |
9704486637/120140800 |
j-invariant |
L |
13.509989857087 |
L(r)(E,1)/r! |
Ω |
0.27010256397659 |
Real period |
R |
1.2504499812269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150f1 22230b1 |
Quadratic twists by: -3 5 |