Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840cz |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
32417282304000000 = 214 · 32 · 56 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5001336,-4306698540] |
[a1,a2,a3,a4,a6] |
Generators |
[-34885770:-2334761:27000] |
Generators of the group modulo torsion |
j |
3377706798308077972729/7914375562500 |
j-invariant |
L |
7.8214403994855 |
L(r)(E,1)/r! |
Ω |
0.10095506213486 |
Real period |
R |
9.6843093278973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10230b2 |
Quadratic twists by: -4 |