Atkin-Lehner |
2+ 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270k |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
4090539622162500 = 22 · 37 · 55 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41310,-977184] |
[a1,a2,a3,a4,a6] |
j |
10694677240136161/5611165462500 |
j-invariant |
L |
0.70999158233013 |
L(r)(E,1)/r! |
Ω |
0.35499579116783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090bg1 |
Quadratic twists by: -3 |