Atkin-Lehner |
2+ 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850bg |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-1.4010308445938E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-510026,-586530052] |
[a1,a2,a3,a4,a6] |
Generators |
[1122:15376:1] [1581:49801:1] |
Generators of the group modulo torsion |
j |
-939029876539375249/8966597405400000 |
j-invariant |
L |
10.851581871974 |
L(r)(E,1)/r! |
Ω |
0.077934737635633 |
Real period |
R |
1.7404918214728 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999952981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970o1 |
Quadratic twists by: 5 |