Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488d |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
-55780032 = -1 · 26 · 3 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ 1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33,-363] |
[a1,a2,a3,a4,a6] |
Generators |
[154:671:8] |
Generators of the group modulo torsion |
j |
25088/363 |
j-invariant |
L |
6.5197810073474 |
L(r)(E,1)/r! |
Ω |
0.9719017381437 |
Real period |
R |
3.3541358885561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488cp1 51744bd1 103488dg1 |
Quadratic twists by: -4 8 -7 |