Atkin-Lehner |
2+ 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85162n |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4057200 |
Modular degree for the optimal curve |
Δ |
4.4859568875989E+19 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 11- -2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10327952,12770324284] |
[a1,a2,a3,a4,a6] |
Generators |
[1762:5724:1] |
Generators of the group modulo torsion |
j |
431306381662945033/158808847978 |
j-invariant |
L |
4.595714953966 |
L(r)(E,1)/r! |
Ω |
0.19856763040287 |
Real period |
R |
4.6288661866317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85162c1 |
Quadratic twists by: -7 |