Atkin-Lehner |
2+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
14600b |
Isogeny class |
Conductor |
14600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
29200 = 24 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 -2 -2 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,113] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:7:1] [4:1:1] |
Generators of the group modulo torsion |
j |
31217920/73 |
j-invariant |
L |
6.9405713806056 |
L(r)(E,1)/r! |
Ω |
3.7365270464355 |
Real period |
R |
0.92874630564058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29200b1 116800r1 14600e1 |
Quadratic twists by: -4 8 5 |