Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700c |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
79912300781250000 = 24 · 33 · 512 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126133,10639762] |
[a1,a2,a3,a4,a6] |
Generators |
[-58254:1786700:343] |
Generators of the group modulo torsion |
j |
887714517876736/319649203125 |
j-invariant |
L |
5.2948066883702 |
L(r)(E,1)/r! |
Ω |
0.31405083457894 |
Real period |
R |
8.429856097434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740v1 |
Quadratic twists by: 5 |