Atkin-Lehner |
2+ 3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270a |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16773120 |
Modular degree for the optimal curve |
Δ |
2.5092063797865E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1093946865,13926786544925] |
[a1,a2,a3,a4,a6] |
Generators |
[25382572871490610:-2616064061061473305:811905118289] |
Generators of the group modulo torsion |
j |
7355650808184944781629532483/1274808911134720000 |
j-invariant |
L |
4.3238903214846 |
L(r)(E,1)/r! |
Ω |
0.093904945301637 |
Real period |
R |
23.022697620426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36270bg1 |
Quadratic twists by: -3 |