Atkin-Lehner |
2+ 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482bp |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
25225934956588548 = 22 · 32 · 77 · 134 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-196320,32580538] |
[a1,a2,a3,a4,a6] |
j |
7112559756808297/214416909252 |
j-invariant |
L |
3.0049842401511 |
L(r)(E,1)/r! |
Ω |
0.37562310164304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926j1 |
Quadratic twists by: -7 |