Atkin-Lehner |
3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17775m |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
833203125 = 33 · 58 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 -5 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-305,-1428] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:21:1] [-6:15:1] |
Generators of the group modulo torsion |
j |
296595/79 |
j-invariant |
L |
4.760186318451 |
L(r)(E,1)/r! |
Ω |
1.1654091562647 |
Real period |
R |
0.68076038543515 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17775i1 17775a1 |
Quadratic twists by: -3 5 |