Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574k |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
4764349578941568 = 27 · 32 · 710 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-877615,-316797851] |
[a1,a2,a3,a4,a6] |
Generators |
[-4330:3221:8] |
Generators of the group modulo torsion |
j |
18075297625/1152 |
j-invariant |
L |
3.6259595594701 |
L(r)(E,1)/r! |
Ω |
0.15598223601228 |
Real period |
R |
3.8743295947972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722gl1 35574t1 35574ca1 |
Quadratic twists by: -3 -7 -11 |