Atkin-Lehner |
2- 3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446cr |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
191520 |
Modular degree for the optimal curve |
Δ |
4249350727776 = 25 · 37 · 74 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- -4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11761,-481783] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:131:1] |
Generators of the group modulo torsion |
j |
74931876714289/1769825376 |
j-invariant |
L |
11.64783765995 |
L(r)(E,1)/r! |
Ω |
0.45910621651645 |
Real period |
R |
0.24162553945829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446cc1 |
Quadratic twists by: -7 |