Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400ev |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-864295008192000000 = -1 · 212 · 32 · 56 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12392,44721712] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:-6600:1] [-118:6450:1] |
Generators of the group modulo torsion |
j |
3288008303/13504609503 |
j-invariant |
L |
9.8935823739842 |
L(r)(E,1)/r! |
Ω |
0.22101818207599 |
Real period |
R |
1.3988643210025 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775n6 3696w6 |
Quadratic twists by: -4 5 |