Atkin-Lehner |
2- 11- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
119306s |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
19214350606 = 2 · 117 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3 -1 -4 11- 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1233,-14957] |
[a1,a2,a3,a4,a6] |
Generators |
[-24620004:58469273:1259712] |
Generators of the group modulo torsion |
j |
116930169/10846 |
j-invariant |
L |
16.443989847753 |
L(r)(E,1)/r! |
Ω |
0.81051161025662 |
Real period |
R |
10.144203754044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10846a1 |
Quadratic twists by: -11 |