Atkin-Lehner |
3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8673c |
Isogeny class |
Conductor |
8673 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
1020369777 = 3 · 78 · 59 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,-1324] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:28:1] [-6:19:1] |
Generators of the group modulo torsion |
j |
24137569/8673 |
j-invariant |
L |
2.7137591315381 |
L(r)(E,1)/r! |
Ω |
1.1863430485554 |
Real period |
R |
2.2874995009611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26019m1 1239a1 |
Quadratic twists by: -3 -7 |