Atkin-Lehner |
2+ 5- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350z |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
388587845800000000 = 29 · 58 · 72 · 113 · 313 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11- 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1291951,564315298] |
[a1,a2,a3,a4,a6] |
Generators |
[-1294:9001:1] |
Generators of the group modulo torsion |
j |
610522004561115145/994784885248 |
j-invariant |
L |
6.650960644007 |
L(r)(E,1)/r! |
Ω |
0.30036774366184 |
Real period |
R |
3.6904543380223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999825803 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119350bl1 |
Quadratic twists by: 5 |