Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ce |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-90031500000000 = -1 · 28 · 36 · 59 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -6 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7758,-375084] |
[a1,a2,a3,a4,a6] |
Generators |
[244:3878:1] |
Generators of the group modulo torsion |
j |
36264691/63232 |
j-invariant |
L |
2.4014501844596 |
L(r)(E,1)/r! |
Ω |
0.31687937239302 |
Real period |
R |
1.8946090973464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350v1 111150fh1 |
Quadratic twists by: -3 5 |