Atkin-Lehner |
2- 5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bz |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
4313088 |
Modular degree for the optimal curve |
Δ |
-1234860917551307200 = -1 · 26 · 52 · 77 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3999920,-3081239855] |
[a1,a2,a3,a4,a6] |
Generators |
[21713:3174633:1] |
Generators of the group modulo torsion |
j |
-60157446691437971569/10496144612800 |
j-invariant |
L |
16.773050555264 |
L(r)(E,1)/r! |
Ω |
0.053376757271364 |
Real period |
R |
4.364428378723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710f1 |
Quadratic twists by: -7 |