Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950eb |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
11827200 |
Modular degree for the optimal curve |
Δ |
-6.9216953208322E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20625701,-36277875952] |
[a1,a2,a3,a4,a6] |
Generators |
[58966:3655263:8] |
Generators of the group modulo torsion |
j |
-10139667549471771941/72324653148288 |
j-invariant |
L |
6.5030741105162 |
L(r)(E,1)/r! |
Ω |
0.035406447200213 |
Real period |
R |
2.8698313776772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950gn1 124950bj1 |
Quadratic twists by: 5 -7 |