Atkin-Lehner |
2+ 3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630r |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
36861416435250 = 2 · 37 · 53 · 113 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -7 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8514,80298] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:294:1] |
Generators of the group modulo torsion |
j |
93632326352929/50564357250 |
j-invariant |
L |
3.9431812493375 |
L(r)(E,1)/r! |
Ω |
0.56763186030398 |
Real period |
R |
1.1577871519359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
12210w2 |
Quadratic twists by: -3 |