Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42300q |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-7805539687500000000 = -1 · 28 · 312 · 513 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,214800,-128841500] |
[a1,a2,a3,a4,a6] |
Generators |
[2220:106250:1] |
Generators of the group modulo torsion |
j |
375871176704/2676796875 |
j-invariant |
L |
6.9754631590978 |
L(r)(E,1)/r! |
Ω |
0.11650146055582 |
Real period |
R |
2.4947695669124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14100k1 8460h1 |
Quadratic twists by: -3 5 |