Atkin-Lehner |
3- 5- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
112575l |
Isogeny class |
Conductor |
112575 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-45592875 = -1 · 35 · 53 · 19 · 79 |
Discriminant |
Eigenvalues |
0 3- 5- 0 -6 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,57,299] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-23:1] |
Generators of the group modulo torsion |
j |
160989184/364743 |
j-invariant |
L |
5.0758995019931 |
L(r)(E,1)/r! |
Ω |
1.4044919261512 |
Real period |
R |
0.36140467681141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112575f1 |
Quadratic twists by: 5 |