Atkin-Lehner |
3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37845a |
Isogeny class |
Conductor |
37845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-1697646576950235 = -1 · 39 · 5 · 297 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 3 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,22707,-1481632] |
[a1,a2,a3,a4,a6] |
Generators |
[1044:34060:1] |
Generators of the group modulo torsion |
j |
110592/145 |
j-invariant |
L |
2.3556337941441 |
L(r)(E,1)/r! |
Ω |
0.25216739922433 |
Real period |
R |
1.1676934654265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37845b1 1305a1 |
Quadratic twists by: -3 29 |