Atkin-Lehner |
2+ 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37392f |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87040 |
Modular degree for the optimal curve |
Δ |
34101504 = 28 · 32 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44404,-3616324] |
[a1,a2,a3,a4,a6] |
Generators |
[362:5280:1] |
Generators of the group modulo torsion |
j |
37823334126313552/133209 |
j-invariant |
L |
3.2491276584663 |
L(r)(E,1)/r! |
Ω |
0.3288843562195 |
Real period |
R |
4.9396202601621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18696f1 112176g1 |
Quadratic twists by: -4 -3 |