Atkin-Lehner |
2- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
117800o |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
212480 |
Modular degree for the optimal curve |
Δ |
294500000000 = 28 · 59 · 19 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24708,-1502912] |
[a1,a2,a3,a4,a6] |
Generators |
[1514:6375:8] |
Generators of the group modulo torsion |
j |
3336445712/589 |
j-invariant |
L |
3.5095122089823 |
L(r)(E,1)/r! |
Ω |
0.38079680193816 |
Real period |
R |
4.6081167510373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999016301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117800i1 |
Quadratic twists by: 5 |