Atkin-Lehner |
3- 5+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85095o |
Isogeny class |
Conductor |
85095 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3637487618823375 = -1 · 37 · 53 · 312 · 614 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-345983,78470502] |
[a1,a2,a3,a4,a6] |
Generators |
[410:2121:1] |
Generators of the group modulo torsion |
j |
-6282887556567332521/4989694950375 |
j-invariant |
L |
3.8259344045752 |
L(r)(E,1)/r! |
Ω |
0.44005328382682 |
Real period |
R |
4.3471262959885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28365f1 |
Quadratic twists by: -3 |