Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
35400m |
Isogeny class |
Conductor |
35400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
83200 |
Modular degree for the optimal curve |
Δ |
7168500000000 = 28 · 35 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -1 3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4833,-9963] |
[a1,a2,a3,a4,a6] |
j |
24974336/14337 |
j-invariant |
L |
2.4873902058937 |
L(r)(E,1)/r! |
Ω |
0.62184755146632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800r1 106200t1 35400h1 |
Quadratic twists by: -4 -3 5 |