Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400bq |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-2981888000000 = -1 · 221 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2792,61588] |
[a1,a2,a3,a4,a6] |
Generators |
[228:3550:1] |
Generators of the group modulo torsion |
j |
37595375/46592 |
j-invariant |
L |
7.0122600535903 |
L(r)(E,1)/r! |
Ω |
0.53743596912792 |
Real period |
R |
3.2619048856038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4550b1 1456g1 |
Quadratic twists by: -4 5 |