Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275s |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
93345281982421875 = 310 · 514 · 7 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25177730,-48620197978] |
[a1,a2,a3,a4,a6] |
Generators |
[-8276146440969:4012354614580:2857243059] |
Generators of the group modulo torsion |
j |
154962229997864551249/8194921875 |
j-invariant |
L |
3.8356581232986 |
L(r)(E,1)/r! |
Ω |
0.067397752495595 |
Real period |
R |
14.227692991827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19425s4 11655l3 |
Quadratic twists by: -3 5 |