Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656cg |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
85278681427968 = 212 · 32 · 77 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26672,-1607808] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:98:1] |
Generators of the group modulo torsion |
j |
4354703137/176967 |
j-invariant |
L |
6.2852487403365 |
L(r)(E,1)/r! |
Ω |
0.3745170392006 |
Real period |
R |
2.0977846481094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999650182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7791g2 17808z2 |
Quadratic twists by: -4 -7 |