Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952bc |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
659456 |
Modular degree for the optimal curve |
Δ |
-3072628233529344 = -1 · 211 · 37 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81291,-9311078] |
[a1,a2,a3,a4,a6] |
Generators |
[2793:146804:1] |
Generators of the group modulo torsion |
j |
-986078/51 |
j-invariant |
L |
8.7063911508551 |
L(r)(E,1)/r! |
Ω |
0.14094617958272 |
Real period |
R |
3.8606895583344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59976bk1 39984ba1 119952bs1 |
Quadratic twists by: -4 -3 -7 |