Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ck |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-244363656600000000 = -1 · 29 · 33 · 58 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,152245,-6585253] |
[a1,a2,a3,a4,a6] |
Generators |
[1399:-54950:1] |
Generators of the group modulo torsion |
j |
925063854432453/579232371200 |
j-invariant |
L |
8.7834485528849 |
L(r)(E,1)/r! |
Ω |
0.17980506809179 |
Real period |
R |
0.33923498985668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650d2 19530d2 |
Quadratic twists by: -3 5 |