Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530cu |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-175828125000000 = -1 · 26 · 3 · 512 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4606,648836] |
[a1,a2,a3,a4,a6] |
Generators |
[7572:121214:27] |
Generators of the group modulo torsion |
j |
-89313279333289/1453125000000 |
j-invariant |
L |
12.351501646244 |
L(r)(E,1)/r! |
Ω |
0.48196221365749 |
Real period |
R |
2.1356275922815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112530z2 |
Quadratic twists by: -11 |