Atkin-Lehner |
2- 3- 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648y |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
33156698112 = 212 · 34 · 372 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2168,37140] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:222:1] [-20:270:1] |
Generators of the group modulo torsion |
j |
275259237625/8094897 |
j-invariant |
L |
14.19682772532 |
L(r)(E,1)/r! |
Ω |
1.1614500809739 |
Real period |
R |
1.5279205665373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8103b1 |
Quadratic twists by: -4 |