Atkin-Lehner |
2- 3- 11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127908c |
Isogeny class |
Conductor |
127908 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1450145182464 = -1 · 28 · 313 · 11 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11+ -1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1176,-55820] |
[a1,a2,a3,a4,a6] |
Generators |
[2149429:45081405:4913] |
Generators of the group modulo torsion |
j |
963780608/7770411 |
j-invariant |
L |
9.0419396292098 |
L(r)(E,1)/r! |
Ω |
0.42246005654493 |
Real period |
R |
10.701531972889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42636e1 |
Quadratic twists by: -3 |