Atkin-Lehner |
2- 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008bv |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4273920 |
Modular degree for the optimal curve |
Δ |
-1.6980091312414E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20044648,34605395056] |
[a1,a2,a3,a4,a6] |
j |
-217449837830486975883625/414553010556986532 |
j-invariant |
L |
1.4955884144793 |
L(r)(E,1)/r! |
Ω |
0.14955884754688 |
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 |
10626d1 |
Quadratic twists by: -4 |