Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020cp |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
-1.3758463190766E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2714208,-56408041676] |
[a1,a2,a3,a4,a6] |
Generators |
[532133:388179225:1] |
Generators of the group modulo torsion |
j |
100715742101504/62663434246875 |
j-invariant |
L |
6.5633006714308 |
L(r)(E,1)/r! |
Ω |
0.039956001618134 |
Real period |
R |
8.2131599844779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340bh1 13860n1 |
Quadratic twists by: -3 -7 |