Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270r |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
37158912 |
Modular degree for the optimal curve |
Δ |
-8.127722567528E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,338090490,-3617944971980] |
[a1,a2,a3,a4,a6] |
Generators |
[379159672503751:-88892417640136004:7680354317] |
Generators of the group modulo torsion |
j |
5862664580088804686022644639/11149139324455378527191040 |
j-invariant |
L |
3.4597890238182 |
L(r)(E,1)/r! |
Ω |
0.021677695578365 |
Real period |
R |
19.950166124156 |
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 |
12090x1 |
Quadratic twists by: -3 |