Atkin-Lehner |
2+ 3+ 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
12354b |
Isogeny class |
Conductor |
12354 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-654777022464 = -1 · 211 · 37 · 29 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 -2 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34438,2445844] |
[a1,a2,a3,a4,a6] |
Generators |
[105:-17:1] |
Generators of the group modulo torsion |
j |
-4517073753029676649/654777022464 |
j-invariant |
L |
2.110909771202 |
L(r)(E,1)/r! |
Ω |
0.87831651899608 |
Real period |
R |
1.2016794205435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98832o1 37062h1 |
Quadratic twists by: -4 -3 |