Atkin-Lehner |
3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
57525i |
Isogeny class |
Conductor |
57525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-8736609375 = -1 · 36 · 56 · 13 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -4 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,174,4423] |
[a1,a2,a3,a4,a6] |
Generators |
[46:573:8] |
Generators of the group modulo torsion |
j |
37595375/559143 |
j-invariant |
L |
6.3225275408904 |
L(r)(E,1)/r! |
Ω |
0.96749838488223 |
Real period |
R |
2.178307698766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2301a1 |
Quadratic twists by: 5 |