Atkin-Lehner |
2- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
7370f |
Isogeny class |
Conductor |
7370 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2976 |
Modular degree for the optimal curve |
Δ |
-1975160 = -1 · 23 · 5 · 11 · 672 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- 0 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1696,-27591] |
[a1,a2,a3,a4,a6] |
j |
-539532064700929/1975160 |
j-invariant |
L |
2.2318392877669 |
L(r)(E,1)/r! |
Ω |
0.37197321462782 |
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 |
58960e1 66330s1 36850g1 81070g1 |
Quadratic twists by: -4 -3 5 -11 |