Atkin-Lehner |
2+ 3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37674j |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
36619128 = 23 · 37 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2411136,1441658344] |
[a1,a2,a3,a4,a6] |
Generators |
[953:2471:1] |
Generators of the group modulo torsion |
j |
2126480513962938771457/50232 |
j-invariant |
L |
5.3963472029965 |
L(r)(E,1)/r! |
Ω |
0.73821948249573 |
Real period |
R |
3.6549747947265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558o3 |
Quadratic twists by: -3 |