Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912y |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-174255413133312 = -1 · 234 · 32 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8063,573407] |
[a1,a2,a3,a4,a6] |
Generators |
[26:6195:8] |
Generators of the group modulo torsion |
j |
221115865823/664731648 |
j-invariant |
L |
8.5706135054732 |
L(r)(E,1)/r! |
Ω |
0.40255390827292 |
Real period |
R |
5.3226495441591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30912bk1 966g1 92736co1 |
Quadratic twists by: -4 8 -3 |