Atkin-Lehner |
2+ 3+ 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274j |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512000 |
Modular degree for the optimal curve |
Δ |
-1010236054763142144 = -1 · 210 · 310 · 7 · 175 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,100791,46805445] |
[a1,a2,a3,a4,a6] |
Generators |
[-723074:77896977:12167] |
Generators of the group modulo torsion |
j |
113235406051431800807/1010236054763142144 |
j-invariant |
L |
4.4220548468397 |
L(r)(E,1)/r! |
Ω |
0.20323397659266 |
Real period |
R |
10.879221380643 |
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 |
87822bu1 |
Quadratic twists by: -3 |