Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
54760f |
Isogeny class |
Conductor |
54760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6654041077507942400 = 211 · 52 · 379 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2245616,-1290032480] |
[a1,a2,a3,a4,a6] |
Generators |
[-24341519146995358398441:-20850860618287595921984:26733286077752074969] |
Generators of the group modulo torsion |
j |
4705274/25 |
j-invariant |
L |
4.4464818550712 |
L(r)(E,1)/r! |
Ω |
0.12336858465914 |
Real period |
R |
36.042253927567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109520e2 54760b2 |
Quadratic twists by: -4 37 |