Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574p |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-1.8680062023577E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11- -3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6830331,9507650013] |
[a1,a2,a3,a4,a6] |
Generators |
[6342:467277:1] |
Generators of the group modulo torsion |
j |
-1397395501513/740710656 |
j-invariant |
L |
4.1905105462853 |
L(r)(E,1)/r! |
Ω |
0.11379499703915 |
Real period |
R |
1.5343785811176 |
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 |
106722hj1 5082k1 35574ce1 |
Quadratic twists by: -3 -7 -11 |