Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42600p |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
213120 |
Modular degree for the optimal curve |
Δ |
2684332500000000 = 28 · 3 · 510 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 0 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57708,-4698588] |
[a1,a2,a3,a4,a6] |
j |
8501573200/1073733 |
j-invariant |
L |
1.2423416114334 |
L(r)(E,1)/r! |
Ω |
0.31058540285206 |
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 |
85200bc1 127800v1 42600l1 |
Quadratic twists by: -4 -3 5 |