Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275r |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.41102932485E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4444870,-31751098878] |
[a1,a2,a3,a4,a6] |
Generators |
[28496083:4168673526:1331] |
Generators of the group modulo torsion |
j |
852615925233775919/38725085979479025 |
j-invariant |
L |
4.6100000036478 |
L(r)(E,1)/r! |
Ω |
0.045072904227082 |
Real period |
R |
12.784842919117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19425f6 11655f6 |
Quadratic twists by: -3 5 |