Atkin-Lehner |
3- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120099w |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-273517946736363 = -1 · 34 · 76 · 192 · 433 |
Discriminant |
Eigenvalues |
-2 3- 0 7- -5 7 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1062,-795238] |
[a1,a2,a3,a4,a6] |
Generators |
[219:-3161:1] |
Generators of the group modulo torsion |
j |
1124864000/2324864187 |
j-invariant |
L |
4.4785041546154 |
L(r)(E,1)/r! |
Ω |
0.25549204289307 |
Real period |
R |
0.36518620285261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2451d1 |
Quadratic twists by: -7 |