Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634bk |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-701761536 = -1 · 211 · 33 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2267,42123] |
[a1,a2,a3,a4,a6] |
Generators |
[23:30:1] |
Generators of the group modulo torsion |
j |
-139072344741/75776 |
j-invariant |
L |
9.1815410092524 |
L(r)(E,1)/r! |
Ω |
1.5882433729416 |
Real period |
R |
0.13138501953101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32634d1 32634bl1 |
Quadratic twists by: -3 -7 |