Atkin-Lehner |
2- 3- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ea |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4198748400 = 24 · 36 · 52 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-91382,10655381] |
[a1,a2,a3,a4,a6] |
Generators |
[51:2449:1] |
Generators of the group modulo torsion |
j |
115764048064464409/5759600 |
j-invariant |
L |
12.468333122477 |
L(r)(E,1)/r! |
Ω |
1.0367926926714 |
Real period |
R |
1.503233632386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090a2 |
Quadratic twists by: -3 |