Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574cw |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-1290909312 = -1 · 27 · 35 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8,1728] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-44:1] |
Generators of the group modulo torsion |
j |
-1375/31104 |
j-invariant |
L |
10.502117999202 |
L(r)(E,1)/r! |
Ω |
1.2211803477436 |
Real period |
R |
0.12285675691445 |
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 |
106722cm1 35574bu1 35574bb1 |
Quadratic twists by: -3 -7 -11 |