Atkin-Lehner |
2- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
129076b |
Isogeny class |
Conductor |
129076 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-107233424852861168 = -1 · 24 · 239 · 612 |
Discriminant |
Eigenvalues |
2- -3 0 0 4 -5 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-362365,-85424507] |
[a1,a2,a3,a4,a6] |
Generators |
[1081:28037:1] |
Generators of the group modulo torsion |
j |
-2221648992000/45273407 |
j-invariant |
L |
4.2769426334747 |
L(r)(E,1)/r! |
Ω |
0.097175930374545 |
Real period |
R |
3.6676972247648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998870473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5612a1 |
Quadratic twists by: -23 |