Atkin-Lehner |
5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
31025b |
Isogeny class |
Conductor |
31025 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
323136 |
Modular degree for the optimal curve |
Δ |
676321483146953125 = 57 · 179 · 73 |
Discriminant |
Eigenvalues |
0 1 5+ 0 0 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1615633,788898519] |
[a1,a2,a3,a4,a6] |
Generators |
[93:25287:1] |
Generators of the group modulo torsion |
j |
29849159085774340096/43284574921405 |
j-invariant |
L |
5.0722607604697 |
L(r)(E,1)/r! |
Ω |
0.28652416349804 |
Real period |
R |
0.49174258294705 |
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 |
6205c1 |
Quadratic twists by: 5 |