Atkin-Lehner |
3- 7+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
58149d |
Isogeny class |
Conductor |
58149 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-147476970459 = -1 · 38 · 73 · 13 · 712 |
Discriminant |
Eigenvalues |
0 3- 3 7+ -4 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,744,16744] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:635:8] |
Generators of the group modulo torsion |
j |
62476255232/202300371 |
j-invariant |
L |
5.3531477860169 |
L(r)(E,1)/r! |
Ω |
0.72823041658764 |
Real period |
R |
1.837724593708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19383a1 |
Quadratic twists by: -3 |