Atkin-Lehner |
2- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
124468a |
Isogeny class |
Conductor |
124468 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
5634166496512 = 28 · 296 · 37 |
Discriminant |
Eigenvalues |
2- 1 -4 -3 -5 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4485,-19561] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:155:1] [106:841:1] |
Generators of the group modulo torsion |
j |
65536/37 |
j-invariant |
L |
8.7522201186157 |
L(r)(E,1)/r! |
Ω |
0.62857763483658 |
Real period |
R |
6.9619245370611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
148a1 |
Quadratic twists by: 29 |