Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672n |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-8768670790007808 = -1 · 210 · 318 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 2 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48813,1751330] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:558:1] |
Generators of the group modulo torsion |
j |
17230692282044/11746440423 |
j-invariant |
L |
4.018012130663 |
L(r)(E,1)/r! |
Ω |
0.25972771633477 |
Real period |
R |
1.93376172044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51336q1 34224b1 |
Quadratic twists by: -4 -3 |