Atkin-Lehner |
2+ 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94656b |
Isogeny class |
Conductor |
94656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-48404939931648 = -1 · 222 · 34 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 -4 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225409,-41117567] |
[a1,a2,a3,a4,a6] |
Generators |
[1471:52992:1] |
Generators of the group modulo torsion |
j |
-4831694578428193/184650192 |
j-invariant |
L |
2.4858192381879 |
L(r)(E,1)/r! |
Ω |
0.1095533316625 |
Real period |
R |
5.6726235321384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94656bo1 2958b1 |
Quadratic twists by: -4 8 |