Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574cz |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-2.1703720897078E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26713233,53610374313] |
[a1,a2,a3,a4,a6] |
Generators |
[1572:123723:1] |
Generators of the group modulo torsion |
j |
-29489309167375/303595776 |
j-invariant |
L |
10.669430097336 |
L(r)(E,1)/r! |
Ω |
0.1213797979159 |
Real period |
R |
1.3734562763598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106722ct1 35574bw1 3234m1 |
Quadratic twists by: -3 -7 -11 |