Atkin-Lehner |
2+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13888d |
Isogeny class |
Conductor |
13888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-6221824 = -1 · 212 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,-105] |
[a1,a2,a3,a4,a6] |
Generators |
[10:35:1] |
Generators of the group modulo torsion |
j |
314432/1519 |
j-invariant |
L |
3.9750034885611 |
L(r)(E,1)/r! |
Ω |
1.2010969568816 |
Real period |
R |
1.6547388059667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13888l1 6944f1 124992bl1 97216z1 |
Quadratic twists by: -4 8 -3 -7 |