Atkin-Lehner |
2- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
7370j |
Isogeny class |
Conductor |
7370 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
2232 |
Modular degree for the optimal curve |
Δ |
-47168000 = -1 · 29 · 53 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 1 5- -4 11+ 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,90,-28] |
[a1,a2,a3,a4,a6] |
j |
80565593759/47168000 |
j-invariant |
L |
3.5577779372502 |
L(r)(E,1)/r! |
Ω |
1.1859259790834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58960p1 66330o1 36850a1 81070o1 |
Quadratic twists by: -4 -3 5 -11 |