Atkin-Lehner |
2- 5+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69520u |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
702986240000 = 214 · 54 · 11 · 792 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3096,51604] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:158:1] |
Generators of the group modulo torsion |
j |
801506204569/171627500 |
j-invariant |
L |
2.8039301912359 |
L(r)(E,1)/r! |
Ω |
0.85434493515542 |
Real period |
R |
1.64098250947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8690a2 |
Quadratic twists by: -4 |