Atkin-Lehner |
2- 3- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37884q |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-47722929408 = -1 · 28 · 310 · 7 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,380,10244] |
[a1,a2,a3,a4,a6] |
Generators |
[20:162:1] |
Generators of the group modulo torsion |
j |
23642377904/186417693 |
j-invariant |
L |
5.1931334322907 |
L(r)(E,1)/r! |
Ω |
0.82587230238579 |
Real period |
R |
0.20960195328372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113652t1 |
Quadratic twists by: -3 |