Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674w |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
-15010454185324416 = -1 · 27 · 38 · 7 · 136 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14584,5851851] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-2727:1] |
Generators of the group modulo torsion |
j |
470602324607687/20590472133504 |
j-invariant |
L |
7.8410403391687 |
L(r)(E,1)/r! |
Ω |
0.29865992868018 |
Real period |
R |
0.31254851876493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558e2 |
Quadratic twists by: -3 |