Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600bf |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-880256000000 = -1 · 213 · 56 · 13 · 232 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 -2 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5608,169712] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-184:1] |
Generators of the group modulo torsion |
j |
-304821217/13754 |
j-invariant |
L |
5.7802067040173 |
L(r)(E,1)/r! |
Ω |
0.87912237672398 |
Real period |
R |
0.82187174165018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14950j1 4784d1 |
Quadratic twists by: -4 5 |