Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952y |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-179709207552 = -1 · 210 · 36 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 5 7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-819,-22302] |
[a1,a2,a3,a4,a6] |
Generators |
[21199109:132465754:357911] |
Generators of the group modulo torsion |
j |
-1660932/4913 |
j-invariant |
L |
10.080395758993 |
L(r)(E,1)/r! |
Ω |
0.41272146643987 |
Real period |
R |
12.21210500622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59976m1 13328f1 119952q1 |
Quadratic twists by: -4 -3 -7 |