Atkin-Lehner |
7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35819a |
Isogeny class |
Conductor |
35819 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10584 |
Modular degree for the optimal curve |
Δ |
-4214069531 = -1 · 78 · 17 · 43 |
Discriminant |
Eigenvalues |
0 0 1 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1372,19808] |
[a1,a2,a3,a4,a6] |
Generators |
[22:16:1] |
Generators of the group modulo torsion |
j |
-49545216/731 |
j-invariant |
L |
3.8570401531758 |
L(r)(E,1)/r! |
Ω |
1.3889446272489 |
Real period |
R |
2.7769574664866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35819f1 |
Quadratic twists by: -7 |