Atkin-Lehner |
2- 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690bk |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2653026088126562500 = -1 · 22 · 58 · 118 · 892 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11- 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,172120,-73373948] |
[a1,a2,a3,a4,a6] |
Generators |
[20102:1008999:8] |
Generators of the group modulo torsion |
j |
318318189281639/1497564062500 |
j-invariant |
L |
9.6225428688117 |
L(r)(E,1)/r! |
Ω |
0.12906209870261 |
Real period |
R |
4.6598415444294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790f2 |
Quadratic twists by: -11 |