Atkin-Lehner |
5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9025h |
Isogeny class |
Conductor |
9025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1745843240234375 = -1 · 59 · 197 |
Discriminant |
Eigenvalues |
-1 0 5- -2 -4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2820,-2010178] |
[a1,a2,a3,a4,a6] |
Generators |
[14880:-2191:125] |
Generators of the group modulo torsion |
j |
27/19 |
j-invariant |
L |
1.888015754413 |
L(r)(E,1)/r! |
Ω |
0.22010888103794 |
Real period |
R |
8.5776445980276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81225bo1 9025g1 475b1 |
Quadratic twists by: -3 5 -19 |