Atkin-Lehner |
2- 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
98900r |
Isogeny class |
Conductor |
98900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
662400 |
Modular degree for the optimal curve |
Δ |
-1203316300000000 = -1 · 28 · 58 · 234 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -5 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75333,-8106463] |
[a1,a2,a3,a4,a6] |
Generators |
[28461:888398:27] |
Generators of the group modulo torsion |
j |
-472808488960/12033163 |
j-invariant |
L |
10.396907722212 |
L(r)(E,1)/r! |
Ω |
0.14386992502123 |
Real period |
R |
6.0221688178101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98900d1 |
Quadratic twists by: 5 |