Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962t |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-3211715584 = -1 · 210 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 11- 3 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33331,2350483] |
[a1,a2,a3,a4,a6] |
Generators |
[67:610:1] |
Generators of the group modulo torsion |
j |
-33843179482786377/26543104 |
j-invariant |
L |
10.258223968184 |
L(r)(E,1)/r! |
Ω |
1.1790413190339 |
Real period |
R |
0.21751196931307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38962k1 |
Quadratic twists by: -11 |