Atkin-Lehner |
2- 3+ 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46314v |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
999936 |
Modular degree for the optimal curve |
Δ |
-36131429154816 = -1 · 224 · 33 · 312 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5785739,5358010907] |
[a1,a2,a3,a4,a6] |
Generators |
[1389:-692:1] |
Generators of the group modulo torsion |
j |
-793298060663021335946259/1338201079808 |
j-invariant |
L |
7.7761220034418 |
L(r)(E,1)/r! |
Ω |
0.41998103581126 |
Real period |
R |
1.7358198958084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
46314h2 |
Quadratic twists by: -3 |