Atkin-Lehner |
3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
92925p |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-8820615234375 = -1 · 37 · 510 · 7 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3933,-107784] |
[a1,a2,a3,a4,a6] |
Generators |
[84:858:1] [280:4644:1] |
Generators of the group modulo torsion |
j |
590589719/774375 |
j-invariant |
L |
13.189269635996 |
L(r)(E,1)/r! |
Ω |
0.39088587124163 |
Real period |
R |
8.4354990843747 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30975t1 18585g1 |
Quadratic twists by: -3 5 |