Atkin-Lehner |
2+ 3+ 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
126072a |
Isogeny class |
Conductor |
126072 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
213504 |
Modular degree for the optimal curve |
Δ |
-8731185951744 = -1 · 210 · 33 · 172 · 1033 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 0 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24723,1502974] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:1428:1] [-1:1236:1] |
Generators of the group modulo torsion |
j |
-60445433684268/315798103 |
j-invariant |
L |
11.567658663459 |
L(r)(E,1)/r! |
Ω |
0.73698275365111 |
Real period |
R |
0.65399872006869 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126072l1 |
Quadratic twists by: -3 |