Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050q |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
25544351362500000 = 25 · 39 · 58 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-189951,-30938702] |
[a1,a2,a3,a4,a6] |
j |
1940372645668105/65393539488 |
j-invariant |
L |
2.0624312685415 |
L(r)(E,1)/r! |
Ω |
0.22915902983795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
56400bz1 21150ch1 7050s1 |
Quadratic twists by: -4 -3 5 |