Atkin-Lehner |
2+ 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550t |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
73285632000000000 = 223 · 32 · 59 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -5 -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-114900,-7470000] |
[a1,a2,a3,a4,a6] |
j |
10736671807326529/4690280448000 |
j-invariant |
L |
1.0795656899773 |
L(r)(E,1)/r! |
Ω |
0.26989142965719 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bc1 |
Quadratic twists by: 5 |