Atkin-Lehner |
2+ 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850bp |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-822821637825000000 = -1 · 26 · 35 · 58 · 115 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -6 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-403451,107825798] |
[a1,a2,a3,a4,a6] |
Generators |
[-729:4192:1] [402:3061:1] |
Generators of the group modulo torsion |
j |
-18592359951015625/2106423392832 |
j-invariant |
L |
8.1889909078838 |
L(r)(E,1)/r! |
Ω |
0.27454346969721 |
Real period |
R |
0.099425553227404 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850bx1 |
Quadratic twists by: 5 |