Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7050o |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
103956480000 = 217 · 33 · 54 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 7 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23001,-1344452] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:51:1] |
Generators of the group modulo torsion |
j |
2153062843632025/166330368 |
j-invariant |
L |
3.6932124266494 |
L(r)(E,1)/r! |
Ω |
0.38767442390757 |
Real period |
R |
1.0585091793216 |
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 |
56400ch1 21150cn1 7050u1 |
Quadratic twists by: -4 -3 5 |