Atkin-Lehner |
2+ 3+ 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
83472a |
Isogeny class |
Conductor |
83472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-148246272 = -1 · 28 · 32 · 372 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,92,448] |
[a1,a2,a3,a4,a6] |
Generators |
[12:56:1] |
Generators of the group modulo torsion |
j |
332750000/579087 |
j-invariant |
L |
5.7545632477147 |
L(r)(E,1)/r! |
Ω |
1.2548614703183 |
Real period |
R |
2.2929077763331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41736h1 |
Quadratic twists by: -4 |