Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35088r |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
4.8506983134702E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22278472,-40342484620] |
[a1,a2,a3,a4,a6] |
Generators |
[872680342526550495821386620845506777177590:34623449703136237579025099669540459852595200:140566968588151246303348155339738168501] |
Generators of the group modulo torsion |
j |
298552000881189161456713/1184252517937053696 |
j-invariant |
L |
8.393517389316 |
L(r)(E,1)/r! |
Ω |
0.069507525086819 |
Real period |
R |
60.378479731738 |
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 |
4386b1 105264bq1 |
Quadratic twists by: -4 -3 |