Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46512h |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
2978955180288 = 28 · 38 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132879,-18643538] |
[a1,a2,a3,a4,a6] |
Generators |
[1689:67640:1] |
Generators of the group modulo torsion |
j |
1390353619548112/15962337 |
j-invariant |
L |
8.0777171445516 |
L(r)(E,1)/r! |
Ω |
0.25005512846384 |
Real period |
R |
5.3839575258054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23256m1 15504d1 |
Quadratic twists by: -4 -3 |