Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490s |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-212797833750 = -1 · 2 · 311 · 54 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 5 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5760,171166] |
[a1,a2,a3,a4,a6] |
Generators |
[53:86:1] |
Generators of the group modulo torsion |
j |
-30170510401/303750 |
j-invariant |
L |
3.8372111220385 |
L(r)(E,1)/r! |
Ω |
1.0036019292327 |
Real period |
R |
0.95585984096589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28830be1 86490o1 |
Quadratic twists by: -3 -31 |