Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050u |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
1624320000000000 = 217 · 33 · 510 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -7 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-575013,-168056469] |
[a1,a2,a3,a4,a6] |
Generators |
[-441:252:1] |
Generators of the group modulo torsion |
j |
2153062843632025/166330368 |
j-invariant |
L |
5.2540918780718 |
L(r)(E,1)/r! |
Ω |
0.17337327299908 |
Real period |
R |
1.7826520938064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400co1 21150m1 7050o1 |
Quadratic twists by: -4 -3 5 |