Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200o |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
9589062500000000 = 28 · 514 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55339175,-158451784250] |
[a1,a2,a3,a4,a6] |
Generators |
[3799124820170351687449910121549570:699434631277929084134597370107529700:106791694865955150779092087449] |
Generators of the group modulo torsion |
j |
4685562787485638273616/2397265625 |
j-invariant |
L |
5.9276886396853 |
L(r)(E,1)/r! |
Ω |
0.055353028171082 |
Real period |
R |
53.544393872588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999237808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64600e1 25840h1 |
Quadratic twists by: -4 5 |