Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400v |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
278357534000000000 = 210 · 59 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-941208,350229088] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:24500:1] |
Generators of the group modulo torsion |
j |
391888724/1183 |
j-invariant |
L |
2.7280708062379 |
L(r)(E,1)/r! |
Ω |
0.31007655942105 |
Real period |
R |
1.0997569205135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000025417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127400cg2 18200i2 |
Quadratic twists by: 5 -7 |