Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
26600d |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-1263500000000 = -1 · 28 · 59 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ -1 -5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2300,-33500] |
[a1,a2,a3,a4,a6] |
Generators |
[30:250:1] [90:950:1] |
Generators of the group modulo torsion |
j |
336393216/315875 |
j-invariant |
L |
4.9216738893083 |
L(r)(E,1)/r! |
Ω |
0.47094396572519 |
Real period |
R |
0.32658303372471 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200n1 5320f1 |
Quadratic twists by: -4 5 |