Atkin-Lehner |
3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53655a |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
119952 |
Modular degree for the optimal curve |
Δ |
-98632142109375 = -1 · 3 · 57 · 78 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 3 -1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-736,-478192] |
[a1,a2,a3,a4,a6] |
Generators |
[283430:13356969:125] |
Generators of the group modulo torsion |
j |
-7649089/17109375 |
j-invariant |
L |
2.9751568381083 |
L(r)(E,1)/r! |
Ω |
0.27128468001426 |
Real period |
R |
10.96691799206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655v1 |
Quadratic twists by: -7 |