Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200db |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8630619340800 = -1 · 224 · 3 · 52 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4353,-180897] |
[a1,a2,a3,a4,a6] |
Generators |
[107:768:1] [809:22944:1] |
Generators of the group modulo torsion |
j |
-1392225385/1316928 |
j-invariant |
L |
12.62398561997 |
L(r)(E,1)/r! |
Ω |
0.28291274943864 |
Real period |
R |
11.155370026008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200fx2 2850s2 91200bq2 |
Quadratic twists by: -4 8 5 |