Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150k |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
2.7846241704493E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-218296875,-1238913937875] |
[a1,a2,a3,a4,a6] |
Generators |
[7432670:699783715:343] |
Generators of the group modulo torsion |
j |
73628549562506871957390001/178215946908754500240 |
j-invariant |
L |
3.9851903281528 |
L(r)(E,1)/r! |
Ω |
0.039282655968099 |
Real period |
R |
2.028982119441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bg3 |
Quadratic twists by: 5 |