Atkin-Lehner |
2+ 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
47150f |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
985600 |
Modular degree for the optimal curve |
Δ |
-1090608150992187500 = -1 · 22 · 59 · 237 · 41 |
Discriminant |
Eigenvalues |
2+ 3 5- 0 0 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,134633,-46541959] |
[a1,a2,a3,a4,a6] |
Generators |
[1119332952:-267490909351:19683] |
Generators of the group modulo torsion |
j |
138180394485099/558391373308 |
j-invariant |
L |
8.2607196785823 |
L(r)(E,1)/r! |
Ω |
0.13969755707702 |
Real period |
R |
14.783221431045 |
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 |
47150r1 |
Quadratic twists by: 5 |