Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432ba |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5253120 |
Modular degree for the optimal curve |
Δ |
-2.5596878711012E+21 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 4 3 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4253216,4163596032] |
[a1,a2,a3,a4,a6] |
Generators |
[1112144:45961216:1331] |
Generators of the group modulo torsion |
j |
-17657448289261201/5311764627456 |
j-invariant |
L |
6.2599481891151 |
L(r)(E,1)/r! |
Ω |
0.13674396360629 |
Real period |
R |
5.7223258939116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054bh1 13776z1 |
Quadratic twists by: -4 -7 |