Atkin-Lehner |
2+ 3+ 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882g |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
88375470621558372 = 22 · 33 · 76 · 195 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118398,6457024] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:3682:1] |
Generators of the group modulo torsion |
j |
6798218359795226811/3273165578576236 |
j-invariant |
L |
5.0799924554939 |
L(r)(E,1)/r! |
Ω |
0.30263267785067 |
Real period |
R |
0.27976668746719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998964515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882bd1 |
Quadratic twists by: -3 |