Atkin-Lehner |
3- 5- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94185be |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
4054355417385 = 318 · 5 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4149,35640] |
[a1,a2,a3,a4,a6] |
Generators |
[1851656592:12217344051:20123648] |
Generators of the group modulo torsion |
j |
10836408452689/5561530065 |
j-invariant |
L |
7.962803704843 |
L(r)(E,1)/r! |
Ω |
0.68910783564233 |
Real period |
R |
11.555236032443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015308 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31395o1 |
Quadratic twists by: -3 |