Atkin-Lehner |
2- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107300f |
Isogeny class |
Conductor |
107300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99072 |
Modular degree for the optimal curve |
Δ |
-107300000000 = -1 · 28 · 58 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -5 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1508,-28012] |
[a1,a2,a3,a4,a6] |
Generators |
[1403:52550:1] |
Generators of the group modulo torsion |
j |
-94875856/26825 |
j-invariant |
L |
4.268542789749 |
L(r)(E,1)/r! |
Ω |
0.37750765198773 |
Real period |
R |
5.6535844239396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21460f1 |
Quadratic twists by: 5 |