Atkin-Lehner |
3- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29799h |
Isogeny class |
Conductor |
29799 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-1243299415743 = -1 · 38 · 7 · 114 · 432 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15597,755568] |
[a1,a2,a3,a4,a6] |
Generators |
[998:6381:8] |
Generators of the group modulo torsion |
j |
-575618923356625/1705486167 |
j-invariant |
L |
7.15316921231 |
L(r)(E,1)/r! |
Ω |
0.86549063114573 |
Real period |
R |
4.1324359588045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9933b1 |
Quadratic twists by: -3 |