Atkin-Lehner |
2- 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
70700b |
Isogeny class |
Conductor |
70700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
91584 |
Modular degree for the optimal curve |
Δ |
-176750000 = -1 · 24 · 56 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4000,-97375] |
[a1,a2,a3,a4,a6] |
j |
-28311552000/707 |
j-invariant |
L |
7.2038581116982 |
L(r)(E,1)/r! |
Ω |
0.30016075595887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2828b1 |
Quadratic twists by: 5 |