Atkin-Lehner |
2+ 3+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150d |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
3308976562500 = 22 · 36 · 59 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37375,-2795375] |
[a1,a2,a3,a4,a6] |
Generators |
[2320:110215:1] |
Generators of the group modulo torsion |
j |
369543396484081/211774500 |
j-invariant |
L |
4.1005350850631 |
L(r)(E,1)/r! |
Ω |
0.34337421506213 |
Real period |
R |
2.9854710341117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430br1 |
Quadratic twists by: 5 |