Atkin-Lehner |
2+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116288d |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4915200 |
Modular degree for the optimal curve |
Δ |
2.1447929927292E+20 |
Discriminant |
Eigenvalues |
2+ 1 3 3 -2 7 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1848929,-663874177] |
[a1,a2,a3,a4,a6] |
Generators |
[-459193553671:6008248954384:454756609] |
Generators of the group modulo torsion |
j |
10666077115873723492/3272694385878271 |
j-invariant |
L |
12.695136348882 |
L(r)(E,1)/r! |
Ω |
0.13256542786942 |
Real period |
R |
11.97063268391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116288bc1 14536a1 |
Quadratic twists by: -4 8 |