Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700bg |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
414540000000 = 28 · 32 · 57 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31508,2141988] |
[a1,a2,a3,a4,a6] |
j |
864848456656/103635 |
j-invariant |
L |
5.4535213881583 |
L(r)(E,1)/r! |
Ω |
0.9089202198186 |
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 |
19740h2 |
Quadratic twists by: 5 |