Atkin-Lehner |
2+ 7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
96922g |
Isogeny class |
Conductor |
96922 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-8335580328217856 = -1 · 28 · 76 · 235 · 43 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- -5 3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,758,4392700] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3809:1] |
Generators of the group modulo torsion |
j |
410172407/70851263744 |
j-invariant |
L |
3.3419268594559 |
L(r)(E,1)/r! |
Ω |
0.32775096650018 |
Real period |
R |
2.5491357827504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999799797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1978a1 |
Quadratic twists by: -7 |