Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176bi |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
-8660568484196352 = -1 · 212 · 33 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 0 -7 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-4477456] |
[a1,a2,a3,a4,a6] |
Generators |
[6771:90737:27] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
3.0654994937661 |
L(r)(E,1)/r! |
Ω |
0.18917329420337 |
Real period |
R |
8.1023579562103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4761a1 76176bi2 76176bh1 |
Quadratic twists by: -4 -3 -23 |