Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430ey |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
11796480 |
Modular degree for the optimal curve |
Δ |
5.9386932244685E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-97109312,368356070499] |
[a1,a2,a3,a4,a6] |
Generators |
[3677:245121:1] |
Generators of the group modulo torsion |
j |
1180838681727016392361/692428800000 |
j-invariant |
L |
12.585399642959 |
L(r)(E,1)/r! |
Ω |
0.16270738918373 |
Real period |
R |
0.48343685019116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810m1 14490bp1 |
Quadratic twists by: -3 -7 |