Atkin-Lehner |
2+ 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126a |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8041868519711330304 = 212 · 39 · 78 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 11+ 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-508776,-29796544] |
[a1,a2,a3,a4,a6] |
Generators |
[-649:5494:1] [-368:10552:1] |
Generators of the group modulo torsion |
j |
128359621971/70873088 |
j-invariant |
L |
7.6306729346318 |
L(r)(E,1)/r! |
Ω |
0.19135319054709 |
Real period |
R |
3.3231189368731 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126dl1 126126k2 |
Quadratic twists by: -3 -7 |