Atkin-Lehner |
2- 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
11376h |
Isogeny class |
Conductor |
11376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-8736768 = -1 · 212 · 33 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 1 -3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,82] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
91125/79 |
j-invariant |
L |
4.6680524843999 |
L(r)(E,1)/r! |
Ω |
1.5066421170571 |
Real period |
R |
0.77457885179758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
711a1 45504bh1 11376i1 |
Quadratic twists by: -4 8 -3 |