Atkin-Lehner |
3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
92925bp |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2108160 |
Modular degree for the optimal curve |
Δ |
4201082623828125 = 312 · 58 · 73 · 59 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7599000,-8062741719] |
[a1,a2,a3,a4,a6] |
Generators |
[-101847640:1346377:64000] |
Generators of the group modulo torsion |
j |
170414083271557120/14752773 |
j-invariant |
L |
4.9357371548689 |
L(r)(E,1)/r! |
Ω |
0.09093068145633 |
Real period |
R |
9.0467029190747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999730178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30975x1 92925k1 |
Quadratic twists by: -3 5 |