Atkin-Lehner |
2+ 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
110600h |
Isogeny class |
Conductor |
110600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-7435416800000000 = -1 · 211 · 58 · 76 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -2 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53208,-6304912] |
[a1,a2,a3,a4,a6] |
Generators |
[17229:400456:27] |
Generators of the group modulo torsion |
j |
-20824409330/9294271 |
j-invariant |
L |
6.6782319809963 |
L(r)(E,1)/r! |
Ω |
0.15384780096363 |
Real period |
R |
7.2346738352915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110600k1 |
Quadratic twists by: 5 |