Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800jb |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-7397061112627200 = -1 · 231 · 39 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -3 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23220,-3907440] |
[a1,a2,a3,a4,a6] |
j |
10733445/57344 |
j-invariant |
L |
0.83945191964913 |
L(r)(E,1)/r! |
Ω |
0.2098629125267 |
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 |
100800bi1 25200cs1 100800ji1 100800ks1 |
Quadratic twists by: -4 8 -3 5 |