Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800i |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2939911200000000 = 211 · 36 · 58 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-234675,-43679250] |
[a1,a2,a3,a4,a6] |
Generators |
[630:7650:1] [2034:88848:1] |
Generators of the group modulo torsion |
j |
61269831378/126025 |
j-invariant |
L |
11.443862536973 |
L(r)(E,1)/r! |
Ω |
0.21693844138151 |
Real period |
R |
26.375829162649 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14200e2 25560h2 |
Quadratic twists by: -3 5 |