Atkin-Lehner |
2- 3+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37488q |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
217730304 = 28 · 32 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 11- -3 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-285,1809] |
[a1,a2,a3,a4,a6] |
Generators |
[5:22:1] |
Generators of the group modulo torsion |
j |
10035552256/850509 |
j-invariant |
L |
6.1631493549089 |
L(r)(E,1)/r! |
Ω |
1.7303116036656 |
Real period |
R |
0.29682271013369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9372f1 112464bb1 |
Quadratic twists by: -4 -3 |