Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400bk |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-1.5141208514321E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2668217,-18645201562] |
[a1,a2,a3,a4,a6] |
Generators |
[71713199:1240006911:29791] |
Generators of the group modulo torsion |
j |
8403244139160283136/605648340572821875 |
j-invariant |
L |
9.0967788957772 |
L(r)(E,1)/r! |
Ω |
0.048965364856925 |
Real period |
R |
11.611241591705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280bg1 |
Quadratic twists by: 5 |