Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
61936l |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-16505035901304832 = -1 · 216 · 79 · 792 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76979,-10285198] |
[a1,a2,a3,a4,a6] |
Generators |
[207726191:4242992032:357911] |
Generators of the group modulo torsion |
j |
-104686895097/34250608 |
j-invariant |
L |
7.3662110705094 |
L(r)(E,1)/r! |
Ω |
0.14096531689732 |
Real period |
R |
13.063871370183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7742e1 8848d1 |
Quadratic twists by: -4 -7 |