Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
28140i |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
1154396673281250000 = 24 · 38 · 510 · 75 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-290981,31172400] |
[a1,a2,a3,a4,a6] |
Generators |
[842:10503:8] |
Generators of the group modulo torsion |
j |
170293910410498146304/72149792080078125 |
j-invariant |
L |
5.5081854388579 |
L(r)(E,1)/r! |
Ω |
0.24788203687134 |
Real period |
R |
5.5552486864113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560bm1 84420r1 |
Quadratic twists by: -4 -3 |