Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966k |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81285120 |
Modular degree for the optimal curve |
Δ |
4.2529622588386E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 2 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4637621587,121517675212333] |
[a1,a2,a3,a4,a6] |
j |
1617840527930521321/623760113664 |
j-invariant |
L |
0.34401426617517 |
L(r)(E,1)/r! |
Ω |
0.043001793579039 |
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 |
84966bl1 4998m1 |
Quadratic twists by: -7 17 |