Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350dq |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1204550144000 = -1 · 212 · 53 · 73 · 193 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -4 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4020,112407] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:225:1] [43:111:1] |
Generators of the group modulo torsion |
j |
-8377795791/1404928 |
j-invariant |
L |
10.965474569311 |
L(r)(E,1)/r! |
Ω |
0.83274370354404 |
Real period |
R |
0.091443656151351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000008465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350be1 126350br1 |
Quadratic twists by: 5 -19 |