Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574i |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1034880 |
Modular degree for the optimal curve |
Δ |
-2.6905439128609E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47555,789174093] |
[a1,a2,a3,a4,a6] |
Generators |
[5394339:461619701:729] |
Generators of the group modulo torsion |
j |
-1375/31104 |
j-invariant |
L |
2.9117206874972 |
L(r)(E,1)/r! |
Ω |
0.13916641639005 |
Real period |
R |
10.46129074466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722gh1 35574bb1 35574bu1 |
Quadratic twists by: -3 -7 -11 |