Atkin-Lehner |
5+ 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21385c |
Isogeny class |
Conductor |
21385 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
849408 |
Modular degree for the optimal curve |
Δ |
-216855070623156875 = -1 · 54 · 76 · 137 · 47 |
Discriminant |
Eigenvalues |
-2 1 5+ 7+ -5 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5301626,4696813846] |
[a1,a2,a3,a4,a6] |
Generators |
[839:28983:1] |
Generators of the group modulo torsion |
j |
-16479766591764555953926144/216855070623156875 |
j-invariant |
L |
2.0546183924257 |
L(r)(E,1)/r! |
Ω |
0.28734409251393 |
Real period |
R |
0.2553705825616 |
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 |
106925m1 |
Quadratic twists by: 5 |