Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ge |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10380965400750000 = -1 · 24 · 3 · 56 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-138833,-20459088] |
[a1,a2,a3,a4,a6] |
Generators |
[106765811841834808:-2580585103681859729:134658611785216] |
Generators of the group modulo torsion |
j |
-10061824000/352947 |
j-invariant |
L |
5.8597871559912 |
L(r)(E,1)/r! |
Ω |
0.12341038826773 |
Real period |
R |
23.741061178861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bn3 2352t3 8400ci3 |
Quadratic twists by: -4 5 -7 |