Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344bh |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
12694528 = 210 · 72 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-328,2280] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:3255:64] |
Generators of the group modulo torsion |
j |
3811055616/12397 |
j-invariant |
L |
10.401376222282 |
L(r)(E,1)/r! |
Ω |
2.2561144278019 |
Real period |
R |
4.6103052666203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344da1 14168j1 |
Quadratic twists by: -4 8 |