Atkin-Lehner |
2+ 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630f |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65802240 |
Modular degree for the optimal curve |
Δ |
8.0152266812262E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5495291323,156734250467677] |
[a1,a2,a3,a4,a6] |
j |
155993906575104092056816286761/68128302673428480000000 |
j-invariant |
L |
0.73562086862816 |
L(r)(E,1)/r! |
Ω |
0.040867826042998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890gk1 6090o1 |
Quadratic twists by: -3 -7 |