Atkin-Lehner |
3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361v |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3947328 |
Modular degree for the optimal curve |
Δ |
-3.2700918762339E+20 |
Discriminant |
Eigenvalues |
2 3- 2 7+ 11- 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15065589,-22524311021] |
[a1,a2,a3,a4,a6] |
Generators |
[3638055422058995140666708219493489948936612210484867914360326:581694869896058982250519780686726040921816282613566029811542349:138995870062396974443509021055177712736035717258788038744] |
Generators of the group modulo torsion |
j |
-3469312/3 |
j-invariant |
L |
14.568909859802 |
L(r)(E,1)/r! |
Ω |
0.03831338376852 |
Real period |
R |
95.064103107051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17787e1 53361bu1 53361x1 |
Quadratic twists by: -3 -7 -11 |