Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488bl |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-58775196598272 = -1 · 216 · 32 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,370273] |
[a1,a2,a3,a4,a6] |
Generators |
[19:588:1] |
Generators of the group modulo torsion |
j |
-62500/7623 |
j-invariant |
L |
6.3351422839538 |
L(r)(E,1)/r! |
Ω |
0.5128603938639 |
Real period |
R |
1.5440708484919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488hk1 12936x1 14784bi1 |
Quadratic twists by: -4 8 -7 |