Atkin-Lehner |
5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77615a |
Isogeny class |
Conductor |
77615 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-1264358051875 = -1 · 54 · 196 · 43 |
Discriminant |
Eigenvalues |
0 0 5+ -2 -1 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2888,80593] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-181:1] [338:1471:8] |
Generators of the group modulo torsion |
j |
-56623104/26875 |
j-invariant |
L |
7.3167639077125 |
L(r)(E,1)/r! |
Ω |
0.803808952645 |
Real period |
R |
2.2756538987392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
215a1 |
Quadratic twists by: -19 |