Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952cj |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
1509345460224 = 226 · 33 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4347,-93142] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:48:1] |
Generators of the group modulo torsion |
j |
1676381427/278528 |
j-invariant |
L |
7.9929306240278 |
L(r)(E,1)/r! |
Ω |
0.5946014714232 |
Real period |
R |
3.3606251345379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994br1 119952db1 119952cc1 |
Quadratic twists by: -4 -3 -7 |