Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43320n |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
29877120 |
Modular degree for the optimal curve |
Δ |
4.4758592275358E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -5 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-995112865,11645521673795] |
[a1,a2,a3,a4,a6] |
Generators |
[14903:354294:1] |
Generators of the group modulo torsion |
j |
25065245484338062336/1029455660473245 |
j-invariant |
L |
6.4864190760652 |
L(r)(E,1)/r! |
Ω |
0.043184639775734 |
Real period |
R |
1.2516832971445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640e1 129960bz1 43320x1 |
Quadratic twists by: -4 -3 -19 |