Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72963j |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
307847376038154249 = 311 · 1110 · 67 |
Discriminant |
Eigenvalues |
1 3- -2 4 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-413298,-98620065] |
[a1,a2,a3,a4,a6] |
Generators |
[42370986:1372673523:29791] |
Generators of the group modulo torsion |
j |
6045477024313/238370121 |
j-invariant |
L |
7.1638322554645 |
L(r)(E,1)/r! |
Ω |
0.18875035242694 |
Real period |
R |
9.4885018261265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24321m1 6633f1 |
Quadratic twists by: -3 -11 |