Atkin-Lehner |
2+ 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7854f |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-228906357571584 = -1 · 214 · 36 · 7 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11+ -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3375136,-2388036608] |
[a1,a2,a3,a4,a6] |
Generators |
[29688223168:-9150650528:13997521] |
Generators of the group modulo torsion |
j |
-4252043951666000571674377/228906357571584 |
j-invariant |
L |
3.3328497243843 |
L(r)(E,1)/r! |
Ω |
0.055692501027837 |
Real period |
R |
14.960944754117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62832bs1 23562bl1 54978v1 86394br1 |
Quadratic twists by: -4 -3 -7 -11 |