Atkin-Lehner |
2- 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28860f |
Isogeny class |
Conductor |
28860 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
34800 |
Modular degree for the optimal curve |
Δ |
-267063629040 = -1 · 24 · 35 · 5 · 135 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1430,-32907] |
[a1,a2,a3,a4,a6] |
Generators |
[73:507:1] |
Generators of the group modulo torsion |
j |
-20226256427776/16691476815 |
j-invariant |
L |
5.8377286155301 |
L(r)(E,1)/r! |
Ω |
0.37501815427296 |
Real period |
R |
0.62266090844029 |
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 |
115440cc1 86580f1 |
Quadratic twists by: -4 -3 |