Atkin-Lehner |
3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37845h |
Isogeny class |
Conductor |
37845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1697646576950235 = -1 · 39 · 5 · 297 |
Discriminant |
Eigenvalues |
0 3- 5- 2 3 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-85782,-9871448] |
[a1,a2,a3,a4,a6] |
Generators |
[205030:4234684:343] |
Generators of the group modulo torsion |
j |
-160989184/3915 |
j-invariant |
L |
5.8444883247011 |
L(r)(E,1)/r! |
Ω |
0.13928244153882 |
Real period |
R |
5.2451768687864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12615a1 1305f1 |
Quadratic twists by: -3 29 |