Atkin-Lehner |
2- 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650cq |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
566272 |
Modular degree for the optimal curve |
Δ |
-1299971016744750 = -1 · 2 · 33 · 53 · 7 · 317 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 3 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88265,-10219113] |
[a1,a2,a3,a4,a6] |
j |
-22532578811728623/385176597554 |
j-invariant |
L |
3.8738264090725 |
L(r)(E,1)/r! |
Ω |
0.13835094177161 |
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 |
97650j1 97650l1 |
Quadratic twists by: -3 5 |