Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634bl |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-82561542948864 = -1 · 211 · 33 · 79 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 0 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-111068,-14226145] |
[a1,a2,a3,a4,a6] |
Generators |
[429:3901:1] |
Generators of the group modulo torsion |
j |
-139072344741/75776 |
j-invariant |
L |
8.3486842499014 |
L(r)(E,1)/r! |
Ω |
0.13075503867964 |
Real period |
R |
1.4511320234953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32634c1 32634bk1 |
Quadratic twists by: -3 -7 |