Atkin-Lehner |
2+ 3- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
29394b |
Isogeny class |
Conductor |
29394 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
3554685554688 = 212 · 312 · 23 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 4 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5490,-126252] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1653:1] |
Generators of the group modulo torsion |
j |
25104854795041/4876111872 |
j-invariant |
L |
4.7208605645666 |
L(r)(E,1)/r! |
Ω |
0.56212722181895 |
Real period |
R |
4.1991033180093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9798k1 |
Quadratic twists by: -3 |