Atkin-Lehner |
2+ 5- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450w |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
354470400 |
Modular degree for the optimal curve |
Δ |
-8.1392694429385E+29 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 2 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22563643492,-1305269969457584] |
[a1,a2,a3,a4,a6] |
Generators |
[9293544:28323289228:1] |
Generators of the group modulo torsion |
j |
-650461147168289566647290747301/416730595478450489786368 |
j-invariant |
L |
3.210012288711 |
L(r)(E,1)/r! |
Ω |
0.0061588632911735 |
Real period |
R |
2.1716752880934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450bo1 |
Quadratic twists by: 5 |