Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010bk |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
146200320 |
Modular degree for the optimal curve |
Δ |
-6.7579459436615E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15315765361,729545481167663] |
[a1,a2,a3,a4,a6] |
Generators |
[563342:3534831:8] |
Generators of the group modulo torsion |
j |
-68921624431417353829938395089/117227740275188640 |
j-invariant |
L |
7.5385280771875 |
L(r)(E,1)/r! |
Ω |
0.058533198808254 |
Real period |
R |
3.6797325384522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010do1 |
Quadratic twists by: -7 |