Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486a |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8279702466359877252 = 22 · 39 · 76 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2232672,1277134028] |
[a1,a2,a3,a4,a6] |
Generators |
[803:862:1] |
Generators of the group modulo torsion |
j |
1329185824875/8941324 |
j-invariant |
L |
4.798125292228 |
L(r)(E,1)/r! |
Ω |
0.23409697122151 |
Real period |
R |
1.7080262605126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45486w1 2394g3 |
Quadratic twists by: -3 -19 |