Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634o |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-33261090766848 = -1 · 223 · 37 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -1 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18972,1048144] |
[a1,a2,a3,a4,a6] |
Generators |
[95:263:1] |
Generators of the group modulo torsion |
j |
-21142304724625/931135488 |
j-invariant |
L |
4.3863905301072 |
L(r)(E,1)/r! |
Ω |
0.64978436011825 |
Real period |
R |
3.37526631859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878y1 32634g1 |
Quadratic twists by: -3 -7 |