Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574cq |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
479364804688537152 = 26 · 33 · 76 · 119 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-210603,-16576911] |
[a1,a2,a3,a4,a6] |
j |
3723875/1728 |
j-invariant |
L |
4.1945108532506 |
L(r)(E,1)/r! |
Ω |
0.23302838073683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106722cb1 726f1 35574v1 |
Quadratic twists by: -3 -7 -11 |