Atkin-Lehner |
2+ 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760y |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
118772855550162000 = 24 · 312 · 53 · 112 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-241662,42613441] |
[a1,a2,a3,a4,a6] |
j |
133813921247094784/10182857986125 |
j-invariant |
L |
3.8941838514136 |
L(r)(E,1)/r! |
Ω |
0.32451540059241 |
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 |
40920bc1 |
Quadratic twists by: -3 |