Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512d |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
276433737552 = 24 · 34 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29759,-1965900] |
[a1,a2,a3,a4,a6] |
Generators |
[467:9261:1] |
Generators of the group modulo torsion |
j |
1548406847488/146853 |
j-invariant |
L |
2.8716071884966 |
L(r)(E,1)/r! |
Ω |
0.36349314636593 |
Real period |
R |
1.9750077939586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024bk1 6216i1 |
Quadratic twists by: -4 -7 |