Atkin-Lehner |
5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4655m |
Isogeny class |
Conductor |
4655 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-2738280475 = -1 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
-2 0 5- 7+ -3 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,343,600] |
[a1,a2,a3,a4,a6] |
Generators |
[0:24:1] |
Generators of the group modulo torsion |
j |
774144/475 |
j-invariant |
L |
1.9833623502952 |
L(r)(E,1)/r! |
Ω |
0.88548074393304 |
Real period |
R |
0.37331177891867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480bx1 41895o1 23275e1 4655f1 |
Quadratic twists by: -4 -3 5 -7 |