Atkin-Lehner |
2- 3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350cq |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-522127296000000 = -1 · 212 · 36 · 56 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1637,1099217] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:-871:1] [-88:569:1] |
Generators of the group modulo torsion |
j |
31047965207/33416146944 |
j-invariant |
L |
16.850892240815 |
L(r)(E,1)/r! |
Ω |
0.40754376078167 |
Real period |
R |
0.28713501780204 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3534a1 |
Quadratic twists by: 5 |