Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200bc |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
2684332500000000 = 28 · 3 · 510 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57708,4698588] |
[a1,a2,a3,a4,a6] |
Generators |
[374:5964:1] |
Generators of the group modulo torsion |
j |
8501573200/1073733 |
j-invariant |
L |
6.4902764778399 |
L(r)(E,1)/r! |
Ω |
0.43866630576312 |
Real period |
R |
2.4659125449649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600p1 85200s1 |
Quadratic twists by: -4 5 |