Atkin-Lehner |
2- 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24650bn |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
401280 |
Modular degree for the optimal curve |
Δ |
-496047923200000000 = -1 · 219 · 58 · 174 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -2 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,64737,33293017] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:5149:1] [-1634:28017:8] |
Generators of the group modulo torsion |
j |
76810566358895/1269882683392 |
j-invariant |
L |
7.9685714326093 |
L(r)(E,1)/r! |
Ω |
0.21904133519697 |
Real period |
R |
0.15955835309808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24650c1 |
Quadratic twists by: 5 |