Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026g |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1024330402548288 = 26 · 312 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-278262,56546100] |
[a1,a2,a3,a4,a6] |
Generators |
[292:210:1] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
3.5661812363783 |
L(r)(E,1)/r! |
Ω |
0.4849916618213 |
Real period |
R |
3.6765387089185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342bd1 306a1 |
Quadratic twists by: -3 -11 |