Atkin-Lehner |
2+ 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350bb |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-378168750000 = -1 · 24 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 2 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42117,3337541] |
[a1,a2,a3,a4,a6] |
Generators |
[-206:1903:1] [94:-497:1] |
Generators of the group modulo torsion |
j |
-29014442865/1328 |
j-invariant |
L |
6.1573866888009 |
L(r)(E,1)/r! |
Ω |
0.89635847849766 |
Real period |
R |
0.28622229259214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150n1 37350bm1 |
Quadratic twists by: -3 5 |