Atkin-Lehner |
2+ 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
7370a |
Isogeny class |
Conductor |
7370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4000 |
Modular degree for the optimal curve |
Δ |
-7900640 = -1 · 25 · 5 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3 5+ 3 11+ 4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,35,101] |
[a1,a2,a3,a4,a6] |
j |
4665834711/7900640 |
j-invariant |
L |
3.1991373231473 |
L(r)(E,1)/r! |
Ω |
1.5995686615737 |
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 |
58960n1 66330bu1 36850r1 81070r1 |
Quadratic twists by: -4 -3 5 -11 |