Atkin-Lehner |
3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
92925k |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
421632 |
Modular degree for the optimal curve |
Δ |
268869287925 = 312 · 52 · 73 · 59 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-303960,-64501934] |
[a1,a2,a3,a4,a6] |
Generators |
[-2182796:-581:6859] |
Generators of the group modulo torsion |
j |
170414083271557120/14752773 |
j-invariant |
L |
2.9464706737127 |
L(r)(E,1)/r! |
Ω |
0.20332718497673 |
Real period |
R |
7.2456388234057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999425423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30975b1 92925bp1 |
Quadratic twists by: -3 5 |