Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628b |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
79781725252944 = 24 · 39 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156816,23898105] |
[a1,a2,a3,a4,a6] |
Generators |
[258:783:1] |
Generators of the group modulo torsion |
j |
764411904/143 |
j-invariant |
L |
4.632517683933 |
L(r)(E,1)/r! |
Ω |
0.59152646925564 |
Real period |
R |
2.6104876815097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56628a1 5148b1 |
Quadratic twists by: -3 -11 |