Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786l |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-91423155516 = -1 · 22 · 3 · 77 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-711,-16575] |
[a1,a2,a3,a4,a6] |
Generators |
[83:669:1] |
Generators of the group modulo torsion |
j |
-338608873/777084 |
j-invariant |
L |
2.3138380344128 |
L(r)(E,1)/r! |
Ω |
0.4319884366076 |
Real period |
R |
2.67812495818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398j1 |
Quadratic twists by: -7 |