Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350bx |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
151200000 |
Modular degree for the optimal curve |
Δ |
9.201772669391E+22 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14709987576,-686700474702202] |
[a1,a2,a3,a4,a6] |
j |
3830972064521089212269/1001428288 |
j-invariant |
L |
1.7272967061099 |
L(r)(E,1)/r! |
Ω |
0.013708706494186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126350dh1 6650bf1 |
Quadratic twists by: 5 -19 |