Atkin-Lehner |
2+ 5- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350x |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-656425000000 = -1 · 26 · 58 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- 1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3617,-91459] |
[a1,a2,a3,a4,a6] |
j |
-13399134345/1680448 |
j-invariant |
L |
1.2226481146669 |
L(r)(E,1)/r! |
Ω |
0.30566172926041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350bi1 |
Quadratic twists by: 5 |