Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1176b |
Isogeny class |
Conductor |
1176 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-24385536 = -1 · 211 · 35 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 3 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40,204] |
[a1,a2,a3,a4,a6] |
j |
68782/243 |
j-invariant |
L |
1.5100554568801 |
L(r)(E,1)/r! |
Ω |
1.5100554568801 |
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 |
2352h1 9408bc1 3528v1 29400ee1 |
Quadratic twists by: -4 8 -3 5 |