Atkin-Lehner |
2+ 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
124002a |
Isogeny class |
Conductor |
124002 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61824 |
Modular degree for the optimal curve |
Δ |
-61752996 = -1 · 22 · 33 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 3 -4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-669,6841] |
[a1,a2,a3,a4,a6] |
Generators |
[21:31:1] |
Generators of the group modulo torsion |
j |
-2146689/4 |
j-invariant |
L |
7.4861942308499 |
L(r)(E,1)/r! |
Ω |
1.9709612138767 |
Real period |
R |
0.4747806633547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124002n1 124002m1 |
Quadratic twists by: -3 -83 |