Atkin-Lehner |
2+ 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050bg |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-751142808000 = -1 · 26 · 34 · 53 · 132 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-846,42688] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:161:1] [-266:1611:8] |
Generators of the group modulo torsion |
j |
-534794137613/6009142464 |
j-invariant |
L |
7.0078119840131 |
L(r)(E,1)/r! |
Ω |
0.76511292283169 |
Real period |
R |
0.38163277247996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150fd1 37050by1 |
Quadratic twists by: -3 5 |