Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bp |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8985600 |
Modular degree for the optimal curve |
Δ |
-7.4981640614804E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-201317904,1099508354496] |
[a1,a2,a3,a4,a6] |
Generators |
[8280:13824:1] |
Generators of the group modulo torsion |
j |
-124352595912593543977/103332962304 |
j-invariant |
L |
6.603718414683 |
L(r)(E,1)/r! |
Ω |
0.13337379543032 |
Real period |
R |
1.5472769581772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9438bd1 6864o1 |
Quadratic twists by: -4 -11 |