Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680i |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
745734657360 = 24 · 3 · 5 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3495,-66660] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:92:1] |
Generators of the group modulo torsion |
j |
2508888064/396165 |
j-invariant |
L |
4.7864364333964 |
L(r)(E,1)/r! |
Ω |
0.62752183678899 |
Real period |
R |
3.8137608546121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360df1 9240k1 |
Quadratic twists by: -4 -7 |