Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48608a |
Isogeny class |
Conductor |
48608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1633909312 = 26 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- -6 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3577,-82320] |
[a1,a2,a3,a4,a6] |
Generators |
[91:588:1] [93:624:1] |
Generators of the group modulo torsion |
j |
672221376/217 |
j-invariant |
L |
6.8967522094365 |
L(r)(E,1)/r! |
Ω |
0.61734542358558 |
Real period |
R |
5.5858130197034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48608e1 97216bo1 6944a1 |
Quadratic twists by: -4 8 -7 |