Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446cg |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
121814482944 = 215 · 3 · 72 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- -2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30465,2033919] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-28:1] |
Generators of the group modulo torsion |
j |
63816366092712289/2486009856 |
j-invariant |
L |
8.8685979264301 |
L(r)(E,1)/r! |
Ω |
0.98122823461767 |
Real period |
R |
0.20085026802749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446cq1 |
Quadratic twists by: -7 |