Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gw |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-69320101158000 = -1 · 24 · 312 · 53 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,474,-400401] |
[a1,a2,a3,a4,a6] |
Generators |
[195:2673:1] |
Generators of the group modulo torsion |
j |
14990845184/88418496375 |
j-invariant |
L |
7.1713172968197 |
L(r)(E,1)/r! |
Ω |
0.28539565600569 |
Real period |
R |
0.69798980840028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999493637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340c1 129360et1 |
Quadratic twists by: -4 -7 |