Atkin-Lehner |
2+ 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280ba |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
28632787200 = 28 · 36 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1047,10186] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:144:1] [2:90:1] |
Generators of the group modulo torsion |
j |
680136784/153425 |
j-invariant |
L |
11.376278708204 |
L(r)(E,1)/r! |
Ω |
1.1127450469595 |
Real period |
R |
2.5559041449492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999973826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12920h1 |
Quadratic twists by: -3 |