Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728ec |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7.0113364672058E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -6 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10187329,17855223743] |
[a1,a2,a3,a4,a6] |
Generators |
[193447728717523173978866:-829128900808098607247542869:6260391971292195135881] |
Generators of the group modulo torsion |
j |
-446030778735169043473/267461260498268466 |
j-invariant |
L |
8.4719325865408 |
L(r)(E,1)/r! |
Ω |
0.10150477732367 |
Real period |
R |
41.731693866615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728q3 12432bf3 |
Quadratic twists by: -4 8 |