Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926n |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
250880 |
Modular degree for the optimal curve |
Δ |
485746375153536 = 27 · 37 · 79 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 -1 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-278280,56562624] |
[a1,a2,a3,a4,a6] |
Generators |
[135:4563:1] |
Generators of the group modulo torsion |
j |
81014113783/16512 |
j-invariant |
L |
3.4439263883582 |
L(r)(E,1)/r! |
Ω |
0.50967268235729 |
Real period |
R |
1.6892833908755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642bh1 37926m1 |
Quadratic twists by: -3 -7 |