Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400bh |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-67432500000000 = -1 · 28 · 36 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -6 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2292,-393588] |
[a1,a2,a3,a4,a6] |
Generators |
[12138:472851:8] |
Generators of the group modulo torsion |
j |
532400/26973 |
j-invariant |
L |
4.1974504592999 |
L(r)(E,1)/r! |
Ω |
0.29594111203774 |
Real period |
R |
7.0916988018194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100i1 44400cz1 |
Quadratic twists by: -4 5 |