Atkin-Lehner |
3+ 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
71175c |
Isogeny class |
Conductor |
71175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
353525760 |
Modular degree for the optimal curve |
Δ |
-2.3567828749745E+32 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -1 3 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20334269008,1338349454030418] |
[a1,a2,a3,a4,a6] |
j |
-59509921877072378280612184231936/15083410399837017059326171875 |
j-invariant |
L |
1.073139436269 |
L(r)(E,1)/r! |
Ω |
0.016767803276323 |
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 |
14235i1 |
Quadratic twists by: 5 |