Atkin-Lehner |
2+ 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440a |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
138809600 = 28 · 52 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -6 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7223,236278] |
[a1,a2,a3,a4,a6] |
Generators |
[33:184:1] |
Generators of the group modulo torsion |
j |
162793324180944/542225 |
j-invariant |
L |
3.7309315812202 |
L(r)(E,1)/r! |
Ω |
1.6088723994112 |
Real period |
R |
1.1594864769205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37720d1 |
Quadratic twists by: -4 |