Atkin-Lehner |
2- 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560y |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
388623447475200 = 210 · 37 · 52 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1074360,428977692] |
[a1,a2,a3,a4,a6] |
j |
133928699394343361764/379515085425 |
j-invariant |
L |
2.7870555073028 |
L(r)(E,1)/r! |
Ω |
0.4645092512292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120be1 |
Quadratic twists by: -4 |